What is the Greatest Common Factor of 4117 and 4137?

Greatest common factor (GCF) of 4117 and 4137 is 1.

GCF(4117,4137) = 1

We will now calculate the prime factors of 4117 and 4137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4117 and 4137.

How to find the GCF of 4117 and 4137?

We will first find the prime factorization of 4117 and 4137. After we will calculate the factors of 4117 and 4137 and find the biggest common factor number .

Step-1: Prime Factorization of 4117

Prime factors of 4117 are 23, 179. Prime factorization of 4117 in exponential form is:

4117 = 23¹ × 179¹

Step-2: Prime Factorization of 4137

Prime factors of 4137 are 3, 7, 197. Prime factorization of 4137 in exponential form is:

4137 = 3¹ × 7¹ × 197¹

Step-3: Factors of 4117

List of positive integer factors of 4117 that divides 4117 without a remainder.

1, 23, 179

Step-4: Factors of 4137

List of positive integer factors of 4137 that divides 4117 without a remainder.

1, 3, 7, 21, 197, 591, 1379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4117 and 4137. The biggest common factor number is the GCF number.
So the greatest common factor 4117 and 4137 is 1.

Also check out the Least Common Multiple of 4117 and 4137