What is the Greatest Common Factor of 89076 and 89088?

Greatest common factor (GCF) of 89076 and 89088 is 12.

GCF(89076,89088) = 12

We will now calculate the prime factors of 89076 and 89088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89076 and 89088.

How to find the GCF of 89076 and 89088?

We will first find the prime factorization of 89076 and 89088. After we will calculate the factors of 89076 and 89088 and find the biggest common factor number .

Step-1: Prime Factorization of 89076

Prime factors of 89076 are 2, 3, 13, 571. Prime factorization of 89076 in exponential form is:

89076 = 2² × 3¹ × 13¹ × 571¹

Step-2: Prime Factorization of 89088

Prime factors of 89088 are 2, 3, 29. Prime factorization of 89088 in exponential form is:

89088 = 2¹⁰ × 3¹ × 29¹

Step-3: Factors of 89076

List of positive integer factors of 89076 that divides 89076 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 571, 1142, 1713, 2284, 3426, 6852, 7423, 14846, 22269, 29692, 44538

Step-4: Factors of 89088

List of positive integer factors of 89088 that divides 89076 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 256, 348, 384, 464, 512, 696, 768, 928, 1024, 1392, 1536, 1856, 2784, 3072, 3712, 5568, 7424, 11136, 14848, 22272, 29696, 44544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89076 and 89088. The biggest common factor number is the GCF number.
So the greatest common factor 89076 and 89088 is 12.

Also check out the Least Common Multiple of 89076 and 89088