What is the Greatest Common Factor of 87692 and 87708?

Greatest common factor (GCF) of 87692 and 87708 is 4.

GCF(87692,87708) = 4

We will now calculate the prime factors of 87692 and 87708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87692 and 87708.

How to find the GCF of 87692 and 87708?

We will first find the prime factorization of 87692 and 87708. After we will calculate the factors of 87692 and 87708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87708

Prime factors of 87708 are 2, 3, 7309. Prime factorization of 87708 in exponential form is:

87708 = 2² × 3¹ × 7309¹

Step-3: Factors of 87692

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

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

Step-4: Factors of 87708

List of positive integer factors of 87708 that divides 87692 without a remainder.

1, 2, 3, 4, 6, 12, 7309, 14618, 21927, 29236, 43854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87692 and 87708. The biggest common factor number is the GCF number.
So the greatest common factor 87692 and 87708 is 4.

Also check out the Least Common Multiple of 87692 and 87708