What is the Greatest Common Factor of 89708 and 89712?

Greatest common factor (GCF) of 89708 and 89712 is 4.

GCF(89708,89712) = 4

We will now calculate the prime factors of 89708 and 89712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89708 and 89712.

How to find the GCF of 89708 and 89712?

We will first find the prime factorization of 89708 and 89712. After we will calculate the factors of 89708 and 89712 and find the biggest common factor number .

Step-1: Prime Factorization of 89708

Prime factors of 89708 are 2, 41, 547. Prime factorization of 89708 in exponential form is:

89708 = 2² × 41¹ × 547¹

Step-2: 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-3: Factors of 89708

List of positive integer factors of 89708 that divides 89708 without a remainder.

1, 2, 4, 41, 82, 164, 547, 1094, 2188, 22427, 44854

Step-4: Factors of 89712

List of positive integer factors of 89712 that divides 89708 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89708 and 89712. The biggest common factor number is the GCF number.
So the greatest common factor 89708 and 89712 is 4.

Also check out the Least Common Multiple of 89708 and 89712