What is the Greatest Common Factor of 87756 and 87764?

Greatest common factor (GCF) of 87756 and 87764 is 4.

GCF(87756,87764) = 4

We will now calculate the prime factors of 87756 and 87764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87756 and 87764.

How to find the GCF of 87756 and 87764?

We will first find the prime factorization of 87756 and 87764. After we will calculate the factors of 87756 and 87764 and find the biggest common factor number .

Step-1: Prime Factorization of 87756

Prime factors of 87756 are 2, 3, 71, 103. Prime factorization of 87756 in exponential form is:

87756 = 2² × 3¹ × 71¹ × 103¹

Step-2: Prime Factorization of 87764

Prime factors of 87764 are 2, 37, 593. Prime factorization of 87764 in exponential form is:

87764 = 2² × 37¹ × 593¹

Step-3: Factors of 87756

List of positive integer factors of 87756 that divides 87756 without a remainder.

1, 2, 3, 4, 6, 12, 71, 103, 142, 206, 213, 284, 309, 412, 426, 618, 852, 1236, 7313, 14626, 21939, 29252, 43878

Step-4: Factors of 87764

List of positive integer factors of 87764 that divides 87756 without a remainder.

1, 2, 4, 37, 74, 148, 593, 1186, 2372, 21941, 43882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87756 and 87764. The biggest common factor number is the GCF number.
So the greatest common factor 87756 and 87764 is 4.

Also check out the Least Common Multiple of 87756 and 87764