What is the Greatest Common Factor of 87688 and 87692?

Greatest common factor (GCF) of 87688 and 87692 is 4.

GCF(87688,87692) = 4

We will now calculate the prime factors of 87688 and 87692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87688 and 87692.

How to find the GCF of 87688 and 87692?

We will first find the prime factorization of 87688 and 87692. After we will calculate the factors of 87688 and 87692 and find the biggest common factor number .

Step-1: Prime Factorization of 87688

Prime factors of 87688 are 2, 97, 113. Prime factorization of 87688 in exponential form is:

87688 = 2³ × 97¹ × 113¹

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 87688

List of positive integer factors of 87688 that divides 87688 without a remainder.

1, 2, 4, 8, 97, 113, 194, 226, 388, 452, 776, 904, 10961, 21922, 43844

Step-4: Factors of 87692

List of positive integer factors of 87692 that divides 87688 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 87688 and 87692. The biggest common factor number is the GCF number.
So the greatest common factor 87688 and 87692 is 4.

Also check out the Least Common Multiple of 87688 and 87692