What is the Greatest Common Factor of 88974 and 88992?

Greatest common factor (GCF) of 88974 and 88992 is 18.

GCF(88974,88992) = 18

We will now calculate the prime factors of 88974 and 88992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88974 and 88992.

How to find the GCF of 88974 and 88992?

We will first find the prime factorization of 88974 and 88992. After we will calculate the factors of 88974 and 88992 and find the biggest common factor number .

Step-1: Prime Factorization of 88974

Prime factors of 88974 are 2, 3, 4943. Prime factorization of 88974 in exponential form is:

88974 = 2¹ × 3² × 4943¹

Step-2: Prime Factorization of 88992

Prime factors of 88992 are 2, 3, 103. Prime factorization of 88992 in exponential form is:

88992 = 2⁵ × 3³ × 103¹

Step-3: Factors of 88974

List of positive integer factors of 88974 that divides 88974 without a remainder.

1, 2, 3, 6, 9, 18, 4943, 9886, 14829, 29658, 44487

Step-4: Factors of 88992

List of positive integer factors of 88992 that divides 88974 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 103, 108, 144, 206, 216, 288, 309, 412, 432, 618, 824, 864, 927, 1236, 1648, 1854, 2472, 2781, 3296, 3708, 4944, 5562, 7416, 9888, 11124, 14832, 22248, 29664, 44496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88974 and 88992. The biggest common factor number is the GCF number.
So the greatest common factor 88974 and 88992 is 18.

Also check out the Least Common Multiple of 88974 and 88992