What is the Greatest Common Factor of 59626 and 59638?

Greatest common factor (GCF) of 59626 and 59638 is 2.

GCF(59626,59638) = 2

We will now calculate the prime factors of 59626 and 59638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59626 and 59638.

How to find the GCF of 59626 and 59638?

We will first find the prime factorization of 59626 and 59638. After we will calculate the factors of 59626 and 59638 and find the biggest common factor number .

Step-1: Prime Factorization of 59626

Prime factors of 59626 are 2, 7, 4259. Prime factorization of 59626 in exponential form is:

59626 = 2¹ × 7¹ × 4259¹

Step-2: Prime Factorization of 59638

Prime factors of 59638 are 2, 29819. Prime factorization of 59638 in exponential form is:

59638 = 2¹ × 29819¹

Step-3: Factors of 59626

List of positive integer factors of 59626 that divides 59626 without a remainder.

1, 2, 7, 14, 4259, 8518, 29813

Step-4: Factors of 59638

List of positive integer factors of 59638 that divides 59626 without a remainder.

1, 2, 29819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59626 and 59638. The biggest common factor number is the GCF number.
So the greatest common factor 59626 and 59638 is 2.

Also check out the Least Common Multiple of 59626 and 59638