What is the Greatest Common Factor of 34144 and 34158?

Greatest common factor (GCF) of 34144 and 34158 is 2.

GCF(34144,34158) = 2

We will now calculate the prime factors of 34144 and 34158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34144 and 34158.

How to find the GCF of 34144 and 34158?

We will first find the prime factorization of 34144 and 34158. After we will calculate the factors of 34144 and 34158 and find the biggest common factor number .

Step-1: Prime Factorization of 34144

Prime factors of 34144 are 2, 11, 97. Prime factorization of 34144 in exponential form is:

34144 = 2⁵ × 11¹ × 97¹

Step-2: Prime Factorization of 34158

Prime factors of 34158 are 2, 3, 5693. Prime factorization of 34158 in exponential form is:

34158 = 2¹ × 3¹ × 5693¹

Step-3: Factors of 34144

List of positive integer factors of 34144 that divides 34144 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 97, 176, 194, 352, 388, 776, 1067, 1552, 2134, 3104, 4268, 8536, 17072

Step-4: Factors of 34158

List of positive integer factors of 34158 that divides 34144 without a remainder.

1, 2, 3, 6, 5693, 11386, 17079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34144 and 34158. The biggest common factor number is the GCF number.
So the greatest common factor 34144 and 34158 is 2.

Also check out the Least Common Multiple of 34144 and 34158