What is the Greatest Common Factor of 39144 and 39159?

Greatest common factor (GCF) of 39144 and 39159 is 3.

GCF(39144,39159) = 3

We will now calculate the prime factors of 39144 and 39159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39144 and 39159.

How to find the GCF of 39144 and 39159?

We will first find the prime factorization of 39144 and 39159. After we will calculate the factors of 39144 and 39159 and find the biggest common factor number .

Step-1: Prime Factorization of 39144

Prime factors of 39144 are 2, 3, 7, 233. Prime factorization of 39144 in exponential form is:

39144 = 2³ × 3¹ × 7¹ × 233¹

Step-2: Prime Factorization of 39159

Prime factors of 39159 are 3, 19, 229. Prime factorization of 39159 in exponential form is:

39159 = 3² × 19¹ × 229¹

Step-3: Factors of 39144

List of positive integer factors of 39144 that divides 39144 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 233, 466, 699, 932, 1398, 1631, 1864, 2796, 3262, 4893, 5592, 6524, 9786, 13048, 19572

Step-4: Factors of 39159

List of positive integer factors of 39159 that divides 39144 without a remainder.

1, 3, 9, 19, 57, 171, 229, 687, 2061, 4351, 13053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39144 and 39159. The biggest common factor number is the GCF number.
So the greatest common factor 39144 and 39159 is 3.

Also check out the Least Common Multiple of 39144 and 39159