What is the Greatest Common Factor of 89528 and 89537?

Greatest common factor (GCF) of 89528 and 89537 is 1.

GCF(89528,89537) = 1

We will now calculate the prime factors of 89528 and 89537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89528 and 89537.

How to find the GCF of 89528 and 89537?

We will first find the prime factorization of 89528 and 89537. After we will calculate the factors of 89528 and 89537 and find the biggest common factor number .

Step-1: Prime Factorization of 89528

Prime factors of 89528 are 2, 19, 31. Prime factorization of 89528 in exponential form is:

89528 = 2³ × 19² × 31¹

Step-2: Prime Factorization of 89537

Prime factors of 89537 are 7, 12791. Prime factorization of 89537 in exponential form is:

89537 = 7¹ × 12791¹

Step-3: Factors of 89528

List of positive integer factors of 89528 that divides 89528 without a remainder.

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 361, 589, 722, 1178, 1444, 2356, 2888, 4712, 11191, 22382, 44764

Step-4: Factors of 89537

List of positive integer factors of 89537 that divides 89528 without a remainder.

1, 7, 12791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89528 and 89537. The biggest common factor number is the GCF number.
So the greatest common factor 89528 and 89537 is 1.

Also check out the Least Common Multiple of 89528 and 89537