What is the Greatest Common Factor of 59623 and 59634?

Greatest common factor (GCF) of 59623 and 59634 is 1.

GCF(59623,59634) = 1

We will now calculate the prime factors of 59623 and 59634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59623 and 59634.

How to find the GCF of 59623 and 59634?

We will first find the prime factorization of 59623 and 59634. After we will calculate the factors of 59623 and 59634 and find the biggest common factor number .

Step-1: Prime Factorization of 59623

Prime factors of 59623 are 109, 547. Prime factorization of 59623 in exponential form is:

59623 = 109¹ × 547¹

Step-2: Prime Factorization of 59634

Prime factors of 59634 are 2, 3, 3313. Prime factorization of 59634 in exponential form is:

59634 = 2¹ × 3² × 3313¹

Step-3: Factors of 59623

List of positive integer factors of 59623 that divides 59623 without a remainder.

1, 109, 547

Step-4: Factors of 59634

List of positive integer factors of 59634 that divides 59623 without a remainder.

1, 2, 3, 6, 9, 18, 3313, 6626, 9939, 19878, 29817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59623 and 59634. The biggest common factor number is the GCF number.
So the greatest common factor 59623 and 59634 is 1.

Also check out the Least Common Multiple of 59623 and 59634