What is the Greatest Common Factor of 35137 and 35147?

Greatest common factor (GCF) of 35137 and 35147 is 1.

GCF(35137,35147) = 1

We will now calculate the prime factors of 35137 and 35147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35137 and 35147.

How to find the GCF of 35137 and 35147?

We will first find the prime factorization of 35137 and 35147. After we will calculate the factors of 35137 and 35147 and find the biggest common factor number .

Step-1: Prime Factorization of 35137

Prime factors of 35137 are 41, 857. Prime factorization of 35137 in exponential form is:

35137 = 41¹ × 857¹

Step-2: Prime Factorization of 35147

Prime factors of 35147 are 7, 5021. Prime factorization of 35147 in exponential form is:

35147 = 7¹ × 5021¹

Step-3: Factors of 35137

List of positive integer factors of 35137 that divides 35137 without a remainder.

1, 41, 857

Step-4: Factors of 35147

List of positive integer factors of 35147 that divides 35137 without a remainder.

1, 7, 5021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35137 and 35147. The biggest common factor number is the GCF number.
So the greatest common factor 35137 and 35147 is 1.

Also check out the Least Common Multiple of 35137 and 35147