What is the Greatest Common Factor of 89130 and 89148?

Greatest common factor (GCF) of 89130 and 89148 is 6.

GCF(89130,89148) = 6

We will now calculate the prime factors of 89130 and 89148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89130 and 89148.

How to find the GCF of 89130 and 89148?

We will first find the prime factorization of 89130 and 89148. After we will calculate the factors of 89130 and 89148 and find the biggest common factor number .

Step-1: Prime Factorization of 89130

Prime factors of 89130 are 2, 3, 5, 2971. Prime factorization of 89130 in exponential form is:

89130 = 2¹ × 3¹ × 5¹ × 2971¹

Step-2: Prime Factorization of 89148

Prime factors of 89148 are 2, 3, 17, 19, 23. Prime factorization of 89148 in exponential form is:

89148 = 2² × 3¹ × 17¹ × 19¹ × 23¹

Step-3: Factors of 89130

List of positive integer factors of 89130 that divides 89130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2971, 5942, 8913, 14855, 17826, 29710, 44565

Step-4: Factors of 89148

List of positive integer factors of 89148 that divides 89130 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 23, 34, 38, 46, 51, 57, 68, 69, 76, 92, 102, 114, 138, 204, 228, 276, 323, 391, 437, 646, 782, 874, 969, 1173, 1292, 1311, 1564, 1748, 1938, 2346, 2622, 3876, 4692, 5244, 7429, 14858, 22287, 29716, 44574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89130 and 89148. The biggest common factor number is the GCF number.
So the greatest common factor 89130 and 89148 is 6.

Also check out the Least Common Multiple of 89130 and 89148