What is the Greatest Common Factor of 87684 and 87692?

Greatest common factor (GCF) of 87684 and 87692 is 4.

GCF(87684,87692) = 4

We will now calculate the prime factors of 87684 and 87692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87684 and 87692.

How to find the GCF of 87684 and 87692?

We will first find the prime factorization of 87684 and 87692. After we will calculate the factors of 87684 and 87692 and find the biggest common factor number .

Step-1: Prime Factorization of 87684

Prime factors of 87684 are 2, 3, 7307. Prime factorization of 87684 in exponential form is:

87684 = 2² × 3¹ × 7307¹

Step-2: Prime Factorization of 87692

Prime factors of 87692 are 2, 11, 1993. Prime factorization of 87692 in exponential form is:

87692 = 2² × 11¹ × 1993¹

Step-3: Factors of 87684

List of positive integer factors of 87684 that divides 87684 without a remainder.

1, 2, 3, 4, 6, 12, 7307, 14614, 21921, 29228, 43842

Step-4: Factors of 87692

List of positive integer factors of 87692 that divides 87684 without a remainder.

1, 2, 4, 11, 22, 44, 1993, 3986, 7972, 21923, 43846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87684 and 87692. The biggest common factor number is the GCF number.
So the greatest common factor 87684 and 87692 is 4.

Also check out the Least Common Multiple of 87684 and 87692