What is the Greatest Common Factor of 87756 and 87774?

Greatest common factor (GCF) of 87756 and 87774 is 6.

GCF(87756,87774) = 6

We will now calculate the prime factors of 87756 and 87774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87756 and 87774.

How to find the GCF of 87756 and 87774?

We will first find the prime factorization of 87756 and 87774. After we will calculate the factors of 87756 and 87774 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 87774

Prime factors of 87774 are 2, 3, 14629. Prime factorization of 87774 in exponential form is:

87774 = 2¹ × 3¹ × 14629¹

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 87774

List of positive integer factors of 87774 that divides 87756 without a remainder.

1, 2, 3, 6, 14629, 29258, 43887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87756 and 87774. The biggest common factor number is the GCF number.
So the greatest common factor 87756 and 87774 is 6.

Also check out the Least Common Multiple of 87756 and 87774