What is the Greatest Common Factor of 39144 and 39158?

Greatest common factor (GCF) of 39144 and 39158 is 14.

GCF(39144,39158) = 14

We will now calculate the prime factors of 39144 and 39158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39144 and 39158.

How to find the GCF of 39144 and 39158?

We will first find the prime factorization of 39144 and 39158. After we will calculate the factors of 39144 and 39158 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 39158

Prime factors of 39158 are 2, 7, 2797. Prime factorization of 39158 in exponential form is:

39158 = 2¹ × 7¹ × 2797¹

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 39158

List of positive integer factors of 39158 that divides 39144 without a remainder.

1, 2, 7, 14, 2797, 5594, 19579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39144 and 39158. The biggest common factor number is the GCF number.
So the greatest common factor 39144 and 39158 is 14.

Also check out the Least Common Multiple of 39144 and 39158