What is the Greatest Common Factor of 88974 and 88984?

Greatest common factor (GCF) of 88974 and 88984 is 2.

GCF(88974,88984) = 2

We will now calculate the prime factors of 88974 and 88984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88974 and 88984.

How to find the GCF of 88974 and 88984?

We will first find the prime factorization of 88974 and 88984. After we will calculate the factors of 88974 and 88984 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 88984

Prime factors of 88984 are 2, 7, 227. Prime factorization of 88984 in exponential form is:

88984 = 2³ × 7² × 227¹

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 88984

List of positive integer factors of 88984 that divides 88974 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 227, 392, 454, 908, 1589, 1816, 3178, 6356, 11123, 12712, 22246, 44492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88974 and 88984. The biggest common factor number is the GCF number.
So the greatest common factor 88974 and 88984 is 2.

Also check out the Least Common Multiple of 88974 and 88984