What is the Greatest Common Factor of 4117 and 4128?

Greatest common factor (GCF) of 4117 and 4128 is 1.

GCF(4117,4128) = 1

We will now calculate the prime factors of 4117 and 4128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4117 and 4128.

How to find the GCF of 4117 and 4128?

We will first find the prime factorization of 4117 and 4128. After we will calculate the factors of 4117 and 4128 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 4128

Prime factors of 4128 are 2, 3, 43. Prime factorization of 4128 in exponential form is:

4128 = 2⁵ × 3¹ × 43¹

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 4128

List of positive integer factors of 4128 that divides 4117 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4117 and 4128. The biggest common factor number is the GCF number.
So the greatest common factor 4117 and 4128 is 1.

Also check out the Least Common Multiple of 4117 and 4128