What is the Greatest Common Factor of 89112 and 89124?

Greatest common factor (GCF) of 89112 and 89124 is 12.

GCF(89112,89124) = 12

We will now calculate the prime factors of 89112 and 89124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89112 and 89124.

How to find the GCF of 89112 and 89124?

We will first find the prime factorization of 89112 and 89124. After we will calculate the factors of 89112 and 89124 and find the biggest common factor number .

Step-1: Prime Factorization of 89112

Prime factors of 89112 are 2, 3, 47, 79. Prime factorization of 89112 in exponential form is:

89112 = 2³ × 3¹ × 47¹ × 79¹

Step-2: Prime Factorization of 89124

Prime factors of 89124 are 2, 3, 7, 1061. Prime factorization of 89124 in exponential form is:

89124 = 2² × 3¹ × 7¹ × 1061¹

Step-3: Factors of 89112

List of positive integer factors of 89112 that divides 89112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 79, 94, 141, 158, 188, 237, 282, 316, 376, 474, 564, 632, 948, 1128, 1896, 3713, 7426, 11139, 14852, 22278, 29704, 44556

Step-4: Factors of 89124

List of positive integer factors of 89124 that divides 89112 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1061, 2122, 3183, 4244, 6366, 7427, 12732, 14854, 22281, 29708, 44562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89112 and 89124. The biggest common factor number is the GCF number.
So the greatest common factor 89112 and 89124 is 12.

Also check out the Least Common Multiple of 89112 and 89124