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What is the Greatest Common Factor of 87768 and 87780?

Greatest common factor (GCF) of 87768 and 87780 is 12.

GCF(87768,87780) = 12

We will now calculate the prime factors of 87768 and 87780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87768 and 87780.

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How to find the GCF of 87768 and 87780?

We will first find the prime factorization of 87768 and 87780. After we will calculate the factors of 87768 and 87780 and find the biggest common factor number .

Step-1: Prime Factorization of 87768

Prime factors of 87768 are 2, 3, 23, 53. Prime factorization of 87768 in exponential form is:

87768 = 23 × 32 × 231 × 531

Step-2: Prime Factorization of 87780

Prime factors of 87780 are 2, 3, 5, 7, 11, 19. Prime factorization of 87780 in exponential form is:

87780 = 22 × 31 × 51 × 71 × 111 × 191

Step-3: Factors of 87768

List of positive integer factors of 87768 that divides 87768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 53, 69, 72, 92, 106, 138, 159, 184, 207, 212, 276, 318, 414, 424, 477, 552, 636, 828, 954, 1219, 1272, 1656, 1908, 2438, 3657, 3816, 4876, 7314, 9752, 10971, 14628, 21942, 29256, 43884

Step-4: Factors of 87780

List of positive integer factors of 87780 that divides 87768 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 19, 20, 21, 22, 28, 30, 33, 35, 38, 42, 44, 55, 57, 60, 66, 70, 76, 77, 84, 95, 105, 110, 114, 132, 133, 140, 154, 165, 190, 209, 210, 220, 228, 231, 266, 285, 308, 330, 380, 385, 399, 418, 420, 462, 532, 570, 627, 660, 665, 770, 798, 836, 924, 1045, 1140, 1155, 1254, 1330, 1463, 1540, 1596, 1995, 2090, 2310, 2508, 2660, 2926, 3135, 3990, 4180, 4389, 4620, 5852, 6270, 7315, 7980, 8778, 12540, 14630, 17556, 21945, 29260, 43890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87768 and 87780. The biggest common factor number is the GCF number.
So the greatest common factor 87768 and 87780 is 12.

Also check out the Least Common Multiple of 87768 and 87780