What is the Greatest Common Factor of 59138 and 59154?

Greatest common factor (GCF) of 59138 and 59154 is 2.

GCF(59138,59154) = 2

We will now calculate the prime factors of 59138 and 59154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59138 and 59154.

How to find the GCF of 59138 and 59154?

We will first find the prime factorization of 59138 and 59154. After we will calculate the factors of 59138 and 59154 and find the biggest common factor number .

Step-1: Prime Factorization of 59138

Prime factors of 59138 are 2, 29569. Prime factorization of 59138 in exponential form is:

59138 = 2¹ × 29569¹

Step-2: Prime Factorization of 59154

Prime factors of 59154 are 2, 3, 9859. Prime factorization of 59154 in exponential form is:

59154 = 2¹ × 3¹ × 9859¹

Step-3: Factors of 59138

List of positive integer factors of 59138 that divides 59138 without a remainder.

1, 2, 29569

Step-4: Factors of 59154

List of positive integer factors of 59154 that divides 59138 without a remainder.

1, 2, 3, 6, 9859, 19718, 29577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59138 and 59154. The biggest common factor number is the GCF number.
So the greatest common factor 59138 and 59154 is 2.

Also check out the Least Common Multiple of 59138 and 59154