What is the Greatest Common Factor of 89672 and 89692?

Greatest common factor (GCF) of 89672 and 89692 is 4.

GCF(89672,89692) = 4

We will now calculate the prime factors of 89672 and 89692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89672 and 89692.

How to find the GCF of 89672 and 89692?

We will first find the prime factorization of 89672 and 89692. After we will calculate the factors of 89672 and 89692 and find the biggest common factor number .

Step-1: Prime Factorization of 89672

Prime factors of 89672 are 2, 11, 1019. Prime factorization of 89672 in exponential form is:

89672 = 2³ × 11¹ × 1019¹

Step-2: Prime Factorization of 89692

Prime factors of 89692 are 2, 17, 1319. Prime factorization of 89692 in exponential form is:

89692 = 2² × 17¹ × 1319¹

Step-3: Factors of 89672

List of positive integer factors of 89672 that divides 89672 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1019, 2038, 4076, 8152, 11209, 22418, 44836

Step-4: Factors of 89692

List of positive integer factors of 89692 that divides 89672 without a remainder.

1, 2, 4, 17, 34, 68, 1319, 2638, 5276, 22423, 44846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89672 and 89692. The biggest common factor number is the GCF number.
So the greatest common factor 89672 and 89692 is 4.

Also check out the Least Common Multiple of 89672 and 89692