What is the Greatest Common Factor of 39120 and 39127?

Greatest common factor (GCF) of 39120 and 39127 is 1.

GCF(39120,39127) = 1

We will now calculate the prime factors of 39120 and 39127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39120 and 39127.

How to find the GCF of 39120 and 39127?

We will first find the prime factorization of 39120 and 39127. After we will calculate the factors of 39120 and 39127 and find the biggest common factor number .

Step-1: Prime Factorization of 39120

Prime factors of 39120 are 2, 3, 5, 163. Prime factorization of 39120 in exponential form is:

39120 = 2⁴ × 3¹ × 5¹ × 163¹

Step-2: Prime Factorization of 39127

Prime factors of 39127 are 11, 3557. Prime factorization of 39127 in exponential form is:

39127 = 11¹ × 3557¹

Step-3: Factors of 39120

List of positive integer factors of 39120 that divides 39120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 163, 240, 326, 489, 652, 815, 978, 1304, 1630, 1956, 2445, 2608, 3260, 3912, 4890, 6520, 7824, 9780, 13040, 19560

Step-4: Factors of 39127

List of positive integer factors of 39127 that divides 39120 without a remainder.

1, 11, 3557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39120 and 39127. The biggest common factor number is the GCF number.
So the greatest common factor 39120 and 39127 is 1.

Also check out the Least Common Multiple of 39120 and 39127