What is the Greatest Common Factor of 89712 and 89724?

Greatest common factor (GCF) of 89712 and 89724 is 12.

GCF(89712,89724) = 12

We will now calculate the prime factors of 89712 and 89724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89712 and 89724.

How to find the GCF of 89712 and 89724?

We will first find the prime factorization of 89712 and 89724. After we will calculate the factors of 89712 and 89724 and find the biggest common factor number .

Step-1: Prime Factorization of 89712

Prime factors of 89712 are 2, 3, 7, 89. Prime factorization of 89712 in exponential form is:

89712 = 2⁴ × 3² × 7¹ × 89¹

Step-2: Prime Factorization of 89724

Prime factors of 89724 are 2, 3, 7477. Prime factorization of 89724 in exponential form is:

89724 = 2² × 3¹ × 7477¹

Step-3: Factors of 89712

List of positive integer factors of 89712 that divides 89712 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 89, 112, 126, 144, 168, 178, 252, 267, 336, 356, 504, 534, 623, 712, 801, 1008, 1068, 1246, 1424, 1602, 1869, 2136, 2492, 3204, 3738, 4272, 4984, 5607, 6408, 7476, 9968, 11214, 12816, 14952, 22428, 29904, 44856

Step-4: Factors of 89724

List of positive integer factors of 89724 that divides 89712 without a remainder.

1, 2, 3, 4, 6, 12, 7477, 14954, 22431, 29908, 44862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89712 and 89724. The biggest common factor number is the GCF number.
So the greatest common factor 89712 and 89724 is 12.

Also check out the Least Common Multiple of 89712 and 89724