What is the Greatest Common Factor of 89512 and 89520?

Greatest common factor (GCF) of 89512 and 89520 is 8.

GCF(89512,89520) = 8

We will now calculate the prime factors of 89512 and 89520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89512 and 89520.

How to find the GCF of 89512 and 89520?

We will first find the prime factorization of 89512 and 89520. After we will calculate the factors of 89512 and 89520 and find the biggest common factor number .

Step-1: Prime Factorization of 89512

Prime factors of 89512 are 2, 67, 167. Prime factorization of 89512 in exponential form is:

89512 = 2³ × 67¹ × 167¹

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 89512

List of positive integer factors of 89512 that divides 89512 without a remainder.

1, 2, 4, 8, 67, 134, 167, 268, 334, 536, 668, 1336, 11189, 22378, 44756

Step-4: Factors of 89520

List of positive integer factors of 89520 that divides 89512 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 89512 and 89520. The biggest common factor number is the GCF number.
So the greatest common factor 89512 and 89520 is 8.

Also check out the Least Common Multiple of 89512 and 89520