What is the Greatest Common Factor of 120 and 127?

Greatest common factor (GCF) of 120 and 127 is 1.

GCF(120,127) = 1

We will now calculate the prime factors of 120 and 127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 120 and 127.

How to find the GCF of 120 and 127?

We will first find the prime factorization of 120 and 127. After we will calculate the factors of 120 and 127 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 127

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 127¹

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 127

List of positive integer factors of 127 that divides 120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 120 and 127. The biggest common factor number is the GCF number.
So the greatest common factor 120 and 127 is 1.

Also check out the Least Common Multiple of 120 and 127