What is the Greatest Common Factor of 127 and 145?

Greatest common factor (GCF) of 127 and 145 is 1.

GCF(127,145) = 1

We will now calculate the prime factors of 127 and 145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 127 and 145.

How to find the GCF of 127 and 145?

We will first find the prime factorization of 127 and 145. After we will calculate the factors of 127 and 145 and find the biggest common factor number .

Step-1: Prime Factorization of 127

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

127 = 127¹

Step-2: Prime Factorization of 145

Prime factors of 145 are 5, 29. Prime factorization of 145 in exponential form is:

145 = 5¹ × 29¹

Step-3: Factors of 127

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

Step-4: Factors of 145

List of positive integer factors of 145 that divides 127 without a remainder.

1, 5, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 127 and 145. The biggest common factor number is the GCF number.
So the greatest common factor 127 and 145 is 1.

Also check out the Least Common Multiple of 127 and 145