What is the Greatest Common Factor of 87766 and 87780?

Greatest common factor (GCF) of 87766 and 87780 is 14.

GCF(87766,87780) = 14

We will now calculate the prime factors of 87766 and 87780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87766 and 87780.

How to find the GCF of 87766 and 87780?

We will first find the prime factorization of 87766 and 87780. After we will calculate the factors of 87766 and 87780 and find the biggest common factor number .

Step-1: Prime Factorization of 87766

Prime factors of 87766 are 2, 7, 6269. Prime factorization of 87766 in exponential form is:

87766 = 2¹ × 7¹ × 6269¹

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 87766

List of positive integer factors of 87766 that divides 87766 without a remainder.

1, 2, 7, 14, 6269, 12538, 43883

Step-4: Factors of 87780

List of positive integer factors of 87780 that divides 87766 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 87766 and 87780. The biggest common factor number is the GCF number.
So the greatest common factor 87766 and 87780 is 14.

Also check out the Least Common Multiple of 87766 and 87780