What is the Greatest Common Factor of 89976 and 89984?

Greatest common factor (GCF) of 89976 and 89984 is 8.

GCF(89976,89984) = 8

We will now calculate the prime factors of 89976 and 89984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89976 and 89984.

How to find the GCF of 89976 and 89984?

We will first find the prime factorization of 89976 and 89984. After we will calculate the factors of 89976 and 89984 and find the biggest common factor number .

Step-1: Prime Factorization of 89976

Prime factors of 89976 are 2, 3, 23, 163. Prime factorization of 89976 in exponential form is:

89976 = 2³ × 3¹ × 23¹ × 163¹

Step-2: Prime Factorization of 89984

Prime factors of 89984 are 2, 19, 37. Prime factorization of 89984 in exponential form is:

89984 = 2⁷ × 19¹ × 37¹

Step-3: Factors of 89976

List of positive integer factors of 89976 that divides 89976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 163, 184, 276, 326, 489, 552, 652, 978, 1304, 1956, 3749, 3912, 7498, 11247, 14996, 22494, 29992, 44988

Step-4: Factors of 89984

List of positive integer factors of 89984 that divides 89976 without a remainder.

1, 2, 4, 8, 16, 19, 32, 37, 38, 64, 74, 76, 128, 148, 152, 296, 304, 592, 608, 703, 1184, 1216, 1406, 2368, 2432, 2812, 4736, 5624, 11248, 22496, 44992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89976 and 89984. The biggest common factor number is the GCF number.
So the greatest common factor 89976 and 89984 is 8.

Also check out the Least Common Multiple of 89976 and 89984