What is the Greatest Common Factor of 51144 and 51153?

Greatest common factor (GCF) of 51144 and 51153 is 3.

GCF(51144,51153) = 3

We will now calculate the prime factors of 51144 and 51153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51144 and 51153.

How to find the GCF of 51144 and 51153?

We will first find the prime factorization of 51144 and 51153. After we will calculate the factors of 51144 and 51153 and find the biggest common factor number .

Step-1: Prime Factorization of 51144

Prime factors of 51144 are 2, 3, 2131. Prime factorization of 51144 in exponential form is:

51144 = 2³ × 3¹ × 2131¹

Step-2: Prime Factorization of 51153

Prime factors of 51153 are 3, 17, 59. Prime factorization of 51153 in exponential form is:

51153 = 3¹ × 17² × 59¹

Step-3: Factors of 51144

List of positive integer factors of 51144 that divides 51144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2131, 4262, 6393, 8524, 12786, 17048, 25572

Step-4: Factors of 51153

List of positive integer factors of 51153 that divides 51144 without a remainder.

1, 3, 17, 51, 59, 177, 289, 867, 1003, 3009, 17051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51144 and 51153. The biggest common factor number is the GCF number.
So the greatest common factor 51144 and 51153 is 3.

Also check out the Least Common Multiple of 51144 and 51153