What is the Greatest Common Factor of 4154 and 4172?

Greatest common factor (GCF) of 4154 and 4172 is 2.

GCF(4154,4172) = 2

We will now calculate the prime factors of 4154 and 4172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4154 and 4172.

How to find the GCF of 4154 and 4172?

We will first find the prime factorization of 4154 and 4172. After we will calculate the factors of 4154 and 4172 and find the biggest common factor number .

Step-1: Prime Factorization of 4154

Prime factors of 4154 are 2, 31, 67. Prime factorization of 4154 in exponential form is:

4154 = 2¹ × 31¹ × 67¹

Step-2: Prime Factorization of 4172

Prime factors of 4172 are 2, 7, 149. Prime factorization of 4172 in exponential form is:

4172 = 2² × 7¹ × 149¹

Step-3: Factors of 4154

List of positive integer factors of 4154 that divides 4154 without a remainder.

1, 2, 31, 62, 67, 134, 2077

Step-4: Factors of 4172

List of positive integer factors of 4172 that divides 4154 without a remainder.

1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4154 and 4172. The biggest common factor number is the GCF number.
So the greatest common factor 4154 and 4172 is 2.

Also check out the Least Common Multiple of 4154 and 4172