What is the Greatest Common Factor of 89508 and 89520?

Greatest common factor (GCF) of 89508 and 89520 is 12.

GCF(89508,89520) = 12

We will now calculate the prime factors of 89508 and 89520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89508 and 89520.

How to find the GCF of 89508 and 89520?

We will first find the prime factorization of 89508 and 89520. After we will calculate the factors of 89508 and 89520 and find the biggest common factor number .

Step-1: Prime Factorization of 89508

Prime factors of 89508 are 2, 3, 7459. Prime factorization of 89508 in exponential form is:

89508 = 2² × 3¹ × 7459¹

Step-2: Prime Factorization of 89520

Prime factors of 89520 are 2, 3, 5, 373. Prime factorization of 89520 in exponential form is:

89520 = 2⁴ × 3¹ × 5¹ × 373¹

Step-3: Factors of 89508

List of positive integer factors of 89508 that divides 89508 without a remainder.

1, 2, 3, 4, 6, 12, 7459, 14918, 22377, 29836, 44754

Step-4: Factors of 89520

List of positive integer factors of 89520 that divides 89508 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 373, 746, 1119, 1492, 1865, 2238, 2984, 3730, 4476, 5595, 5968, 7460, 8952, 11190, 14920, 17904, 22380, 29840, 44760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89508 and 89520. The biggest common factor number is the GCF number.
So the greatest common factor 89508 and 89520 is 12.

Also check out the Least Common Multiple of 89508 and 89520