What is the Greatest Common Factor of 59134 and 59150?

Greatest common factor (GCF) of 59134 and 59150 is 2.

GCF(59134,59150) = 2

We will now calculate the prime factors of 59134 and 59150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59134 and 59150.

How to find the GCF of 59134 and 59150?

We will first find the prime factorization of 59134 and 59150. After we will calculate the factors of 59134 and 59150 and find the biggest common factor number .

Step-1: Prime Factorization of 59134

Prime factors of 59134 are 2, 29567. Prime factorization of 59134 in exponential form is:

59134 = 2¹ × 29567¹

Step-2: Prime Factorization of 59150

Prime factors of 59150 are 2, 5, 7, 13. Prime factorization of 59150 in exponential form is:

59150 = 2¹ × 5² × 7¹ × 13²

Step-3: Factors of 59134

List of positive integer factors of 59134 that divides 59134 without a remainder.

1, 2, 29567

Step-4: Factors of 59150

List of positive integer factors of 59150 that divides 59134 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 169, 175, 182, 325, 338, 350, 455, 650, 845, 910, 1183, 1690, 2275, 2366, 4225, 4550, 5915, 8450, 11830, 29575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59134 and 59150. The biggest common factor number is the GCF number.
So the greatest common factor 59134 and 59150 is 2.

Also check out the Least Common Multiple of 59134 and 59150