What is the Greatest Common Factor of 60144 and 60153?

Greatest common factor (GCF) of 60144 and 60153 is 3.

GCF(60144,60153) = 3

We will now calculate the prime factors of 60144 and 60153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60144 and 60153.

How to find the GCF of 60144 and 60153?

We will first find the prime factorization of 60144 and 60153. After we will calculate the factors of 60144 and 60153 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60153

Prime factors of 60153 are 3, 20051. Prime factorization of 60153 in exponential form is:

60153 = 3¹ × 20051¹

Step-3: Factors of 60144

List of positive integer factors of 60144 that divides 60144 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

Step-4: Factors of 60153

List of positive integer factors of 60153 that divides 60144 without a remainder.

1, 3, 20051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60144 and 60153. The biggest common factor number is the GCF number.
So the greatest common factor 60144 and 60153 is 3.

Also check out the Least Common Multiple of 60144 and 60153