What is the Greatest Common Factor of 89252 and 89272?

Greatest common factor (GCF) of 89252 and 89272 is 4.

GCF(89252,89272) = 4

We will now calculate the prime factors of 89252 and 89272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89252 and 89272.

How to find the GCF of 89252 and 89272?

We will first find the prime factorization of 89252 and 89272. After we will calculate the factors of 89252 and 89272 and find the biggest common factor number .

Step-1: Prime Factorization of 89252

Prime factors of 89252 are 2, 53, 421. Prime factorization of 89252 in exponential form is:

89252 = 2² × 53¹ × 421¹

Step-2: Prime Factorization of 89272

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

89272 = 2³ × 11159¹

Step-3: Factors of 89252

List of positive integer factors of 89252 that divides 89252 without a remainder.

1, 2, 4, 53, 106, 212, 421, 842, 1684, 22313, 44626

Step-4: Factors of 89272

List of positive integer factors of 89272 that divides 89252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89252 and 89272. The biggest common factor number is the GCF number.
So the greatest common factor 89252 and 89272 is 4.

Also check out the Least Common Multiple of 89252 and 89272