What is the Greatest Common Factor of 89504 and 89524?

Greatest common factor (GCF) of 89504 and 89524 is 4.

GCF(89504,89524) = 4

We will now calculate the prime factors of 89504 and 89524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89504 and 89524.

How to find the GCF of 89504 and 89524?

We will first find the prime factorization of 89504 and 89524. After we will calculate the factors of 89504 and 89524 and find the biggest common factor number .

Step-1: Prime Factorization of 89504

Prime factors of 89504 are 2, 2797. Prime factorization of 89504 in exponential form is:

89504 = 2⁵ × 2797¹

Step-2: Prime Factorization of 89524

Prime factors of 89524 are 2, 22381. Prime factorization of 89524 in exponential form is:

89524 = 2² × 22381¹

Step-3: Factors of 89504

List of positive integer factors of 89504 that divides 89504 without a remainder.

1, 2, 4, 8, 16, 32, 2797, 5594, 11188, 22376, 44752

Step-4: Factors of 89524

List of positive integer factors of 89524 that divides 89504 without a remainder.

1, 2, 4, 22381, 44762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89504 and 89524. The biggest common factor number is the GCF number.
So the greatest common factor 89504 and 89524 is 4.

Also check out the Least Common Multiple of 89504 and 89524