What is the Greatest Common Factor of 88984 and 88998?

Greatest common factor (GCF) of 88984 and 88998 is 14.

GCF(88984,88998) = 14

We will now calculate the prime factors of 88984 and 88998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88984 and 88998.

How to find the GCF of 88984 and 88998?

We will first find the prime factorization of 88984 and 88998. After we will calculate the factors of 88984 and 88998 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88998

Prime factors of 88998 are 2, 3, 7, 13, 163. Prime factorization of 88998 in exponential form is:

88998 = 2¹ × 3¹ × 7¹ × 13¹ × 163¹

Step-3: Factors of 88984

List of positive integer factors of 88984 that divides 88984 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

Step-4: Factors of 88998

List of positive integer factors of 88998 that divides 88984 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 163, 182, 273, 326, 489, 546, 978, 1141, 2119, 2282, 3423, 4238, 6357, 6846, 12714, 14833, 29666, 44499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88984 and 88998. The biggest common factor number is the GCF number.
So the greatest common factor 88984 and 88998 is 14.

Also check out the Least Common Multiple of 88984 and 88998