What is the Greatest Common Factor of 89520 and 89536?

Greatest common factor (GCF) of 89520 and 89536 is 16.

GCF(89520,89536) = 16

We will now calculate the prime factors of 89520 and 89536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89520 and 89536.

How to find the GCF of 89520 and 89536?

We will first find the prime factorization of 89520 and 89536. After we will calculate the factors of 89520 and 89536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89536

Prime factors of 89536 are 2, 1399. Prime factorization of 89536 in exponential form is:

89536 = 2⁶ × 1399¹

Step-3: Factors of 89520

List of positive integer factors of 89520 that divides 89520 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

Step-4: Factors of 89536

List of positive integer factors of 89536 that divides 89520 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1399, 2798, 5596, 11192, 22384, 44768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89520 and 89536. The biggest common factor number is the GCF number.
So the greatest common factor 89520 and 89536 is 16.

Also check out the Least Common Multiple of 89520 and 89536