What is the Greatest Common Factor of 59626 and 59633?

Greatest common factor (GCF) of 59626 and 59633 is 7.

GCF(59626,59633) = 7

We will now calculate the prime factors of 59626 and 59633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59626 and 59633.

How to find the GCF of 59626 and 59633?

We will first find the prime factorization of 59626 and 59633. After we will calculate the factors of 59626 and 59633 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 59633

Prime factors of 59633 are 7, 1217. Prime factorization of 59633 in exponential form is:

59633 = 7² × 1217¹

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 59633

List of positive integer factors of 59633 that divides 59626 without a remainder.

1, 7, 49, 1217, 8519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59626 and 59633. The biggest common factor number is the GCF number.
So the greatest common factor 59626 and 59633 is 7.

Also check out the Least Common Multiple of 59626 and 59633