What is the Greatest Common Factor of 89712 and 89718?

Greatest common factor (GCF) of 89712 and 89718 is 6.

GCF(89712,89718) = 6

We will now calculate the prime factors of 89712 and 89718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89712 and 89718.

How to find the GCF of 89712 and 89718?

We will first find the prime factorization of 89712 and 89718. After we will calculate the factors of 89712 and 89718 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 89718

Prime factors of 89718 are 2, 3, 19, 787. Prime factorization of 89718 in exponential form is:

89718 = 2¹ × 3¹ × 19¹ × 787¹

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 89718

List of positive integer factors of 89718 that divides 89712 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 787, 1574, 2361, 4722, 14953, 29906, 44859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89712 and 89718. The biggest common factor number is the GCF number.
So the greatest common factor 89712 and 89718 is 6.

Also check out the Least Common Multiple of 89712 and 89718