What is the Greatest Common Factor of 87762 and 87780?

Greatest common factor (GCF) of 87762 and 87780 is 6.

GCF(87762,87780) = 6

We will now calculate the prime factors of 87762 and 87780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87762 and 87780.

How to find the GCF of 87762 and 87780?

We will first find the prime factorization of 87762 and 87780. After we will calculate the factors of 87762 and 87780 and find the biggest common factor number .

Step-1: Prime Factorization of 87762

Prime factors of 87762 are 2, 3, 14627. Prime factorization of 87762 in exponential form is:

87762 = 2¹ × 3¹ × 14627¹

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 87762

List of positive integer factors of 87762 that divides 87762 without a remainder.

1, 2, 3, 6, 14627, 29254, 43881

Step-4: Factors of 87780

List of positive integer factors of 87780 that divides 87762 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 87762 and 87780. The biggest common factor number is the GCF number.
So the greatest common factor 87762 and 87780 is 6.

Also check out the Least Common Multiple of 87762 and 87780