What is the Greatest Common Factor of 66129 and 66144?

Greatest common factor (GCF) of 66129 and 66144 is 3.

GCF(66129,66144) = 3

We will now calculate the prime factors of 66129 and 66144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66129 and 66144.

How to find the GCF of 66129 and 66144?

We will first find the prime factorization of 66129 and 66144. After we will calculate the factors of 66129 and 66144 and find the biggest common factor number .

Step-1: Prime Factorization of 66129

Prime factors of 66129 are 3, 7, 47, 67. Prime factorization of 66129 in exponential form is:

66129 = 3¹ × 7¹ × 47¹ × 67¹

Step-2: Prime Factorization of 66144

Prime factors of 66144 are 2, 3, 13, 53. Prime factorization of 66144 in exponential form is:

66144 = 2⁵ × 3¹ × 13¹ × 53¹

Step-3: Factors of 66129

List of positive integer factors of 66129 that divides 66129 without a remainder.

1, 3, 7, 21, 47, 67, 141, 201, 329, 469, 987, 1407, 3149, 9447, 22043

Step-4: Factors of 66144

List of positive integer factors of 66144 that divides 66129 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 53, 78, 96, 104, 106, 156, 159, 208, 212, 312, 318, 416, 424, 624, 636, 689, 848, 1248, 1272, 1378, 1696, 2067, 2544, 2756, 4134, 5088, 5512, 8268, 11024, 16536, 22048, 33072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66129 and 66144. The biggest common factor number is the GCF number.
So the greatest common factor 66129 and 66144 is 3.

Also check out the Least Common Multiple of 66129 and 66144