What is the Greatest Common Factor of 39123 and 39137?

Greatest common factor (GCF) of 39123 and 39137 is 7.

GCF(39123,39137) = 7

We will now calculate the prime factors of 39123 and 39137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39123 and 39137.

How to find the GCF of 39123 and 39137?

We will first find the prime factorization of 39123 and 39137. After we will calculate the factors of 39123 and 39137 and find the biggest common factor number .

Step-1: Prime Factorization of 39123

Prime factors of 39123 are 3, 7, 23. Prime factorization of 39123 in exponential form is:

39123 = 3⁵ × 7¹ × 23¹

Step-2: Prime Factorization of 39137

Prime factors of 39137 are 7, 5591. Prime factorization of 39137 in exponential form is:

39137 = 7¹ × 5591¹

Step-3: Factors of 39123

List of positive integer factors of 39123 that divides 39123 without a remainder.

1, 3, 7, 9, 21, 23, 27, 63, 69, 81, 161, 189, 207, 243, 483, 567, 621, 1449, 1701, 1863, 4347, 5589, 13041

Step-4: Factors of 39137

List of positive integer factors of 39137 that divides 39123 without a remainder.

1, 7, 5591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39123 and 39137. The biggest common factor number is the GCF number.
So the greatest common factor 39123 and 39137 is 7.

Also check out the Least Common Multiple of 39123 and 39137