What is the Greatest Common Factor of 15144 and 15164?

Greatest common factor (GCF) of 15144 and 15164 is 4.

GCF(15144,15164) = 4

We will now calculate the prime factors of 15144 and 15164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15144 and 15164.

How to find the GCF of 15144 and 15164?

We will first find the prime factorization of 15144 and 15164. After we will calculate the factors of 15144 and 15164 and find the biggest common factor number .

Step-1: Prime Factorization of 15144

Prime factors of 15144 are 2, 3, 631. Prime factorization of 15144 in exponential form is:

15144 = 2³ × 3¹ × 631¹

Step-2: Prime Factorization of 15164

Prime factors of 15164 are 2, 17, 223. Prime factorization of 15164 in exponential form is:

15164 = 2² × 17¹ × 223¹

Step-3: Factors of 15144

List of positive integer factors of 15144 that divides 15144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 631, 1262, 1893, 2524, 3786, 5048, 7572

Step-4: Factors of 15164

List of positive integer factors of 15164 that divides 15144 without a remainder.

1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15144 and 15164. The biggest common factor number is the GCF number.
So the greatest common factor 15144 and 15164 is 4.

Also check out the Least Common Multiple of 15144 and 15164