What is the Greatest Common Factor of 39144 and 39153?

Greatest common factor (GCF) of 39144 and 39153 is 3.

GCF(39144,39153) = 3

We will now calculate the prime factors of 39144 and 39153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39144 and 39153.

How to find the GCF of 39144 and 39153?

We will first find the prime factorization of 39144 and 39153. After we will calculate the factors of 39144 and 39153 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 39153

Prime factors of 39153 are 3, 31, 421. Prime factorization of 39153 in exponential form is:

39153 = 3¹ × 31¹ × 421¹

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 39153

List of positive integer factors of 39153 that divides 39144 without a remainder.

1, 3, 31, 93, 421, 1263, 13051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39144 and 39153. The biggest common factor number is the GCF number.
So the greatest common factor 39144 and 39153 is 3.

Also check out the Least Common Multiple of 39144 and 39153