What is the Greatest Common Factor of 120 and 137?

Greatest common factor (GCF) of 120 and 137 is 1.

GCF(120,137) = 1

We will now calculate the prime factors of 120 and 137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 120 and 137.

How to find the GCF of 120 and 137?

We will first find the prime factorization of 120 and 137. After we will calculate the factors of 120 and 137 and find the biggest common factor number .

Step-1: Prime Factorization of 120

Prime factors of 120 are 2, 3, 5. Prime factorization of 120 in exponential form is:

120 = 2³ × 3¹ × 5¹

Step-2: Prime Factorization of 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 137¹

Step-3: Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60

Step-4: Factors of 137

List of positive integer factors of 137 that divides 120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 120 and 137. The biggest common factor number is the GCF number.
So the greatest common factor 120 and 137 is 1.

Also check out the Least Common Multiple of 120 and 137