What is the Greatest Common Factor of 60129 and 60144?

Greatest common factor (GCF) of 60129 and 60144 is 3.

GCF(60129,60144) = 3

We will now calculate the prime factors of 60129 and 60144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60129 and 60144.

How to find the GCF of 60129 and 60144?

We will first find the prime factorization of 60129 and 60144. After we will calculate the factors of 60129 and 60144 and find the biggest common factor number .

Step-1: Prime Factorization of 60129

Prime factors of 60129 are 3, 17, 131. Prime factorization of 60129 in exponential form is:

60129 = 3³ × 17¹ × 131¹

Step-2: Prime Factorization of 60144

Prime factors of 60144 are 2, 3, 7, 179. Prime factorization of 60144 in exponential form is:

60144 = 2⁴ × 3¹ × 7¹ × 179¹

Step-3: Factors of 60129

List of positive integer factors of 60129 that divides 60129 without a remainder.

1, 3, 9, 17, 27, 51, 131, 153, 393, 459, 1179, 2227, 3537, 6681, 20043

Step-4: Factors of 60144

List of positive integer factors of 60144 that divides 60129 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 179, 336, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 2864, 3759, 4296, 5012, 7518, 8592, 10024, 15036, 20048, 30072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60129 and 60144. The biggest common factor number is the GCF number.
So the greatest common factor 60129 and 60144 is 3.

Also check out the Least Common Multiple of 60129 and 60144