What is the Greatest Common Factor of 34144 and 34159?

Greatest common factor (GCF) of 34144 and 34159 is 1.

GCF(34144,34159) = 1

We will now calculate the prime factors of 34144 and 34159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34144 and 34159.

How to find the GCF of 34144 and 34159?

We will first find the prime factorization of 34144 and 34159. After we will calculate the factors of 34144 and 34159 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 34159

Prime factors of 34159 are 34159. Prime factorization of 34159 in exponential form is:

34159 = 34159¹

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 34159

List of positive integer factors of 34159 that divides 34144 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34144 and 34159. The biggest common factor number is the GCF number.
So the greatest common factor 34144 and 34159 is 1.

Also check out the Least Common Multiple of 34144 and 34159