What is the Greatest Common Factor of 89272 and 89292?

Greatest common factor (GCF) of 89272 and 89292 is 4.

GCF(89272,89292) = 4

We will now calculate the prime factors of 89272 and 89292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89272 and 89292.

How to find the GCF of 89272 and 89292?

We will first find the prime factorization of 89272 and 89292. After we will calculate the factors of 89272 and 89292 and find the biggest common factor number .

Step-1: Prime Factorization of 89272

Prime factors of 89272 are 2, 11159. Prime factorization of 89272 in exponential form is:

89272 = 2³ × 11159¹

Step-2: Prime Factorization of 89292

Prime factors of 89292 are 2, 3, 7, 1063. Prime factorization of 89292 in exponential form is:

89292 = 2² × 3¹ × 7¹ × 1063¹

Step-3: Factors of 89272

List of positive integer factors of 89272 that divides 89272 without a remainder.

1, 2, 4, 8, 11159, 22318, 44636

Step-4: Factors of 89292

List of positive integer factors of 89292 that divides 89272 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1063, 2126, 3189, 4252, 6378, 7441, 12756, 14882, 22323, 29764, 44646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89272 and 89292. The biggest common factor number is the GCF number.
So the greatest common factor 89272 and 89292 is 4.

Also check out the Least Common Multiple of 89272 and 89292