What is the Greatest Common Factor of 59538 and 59545?

Greatest common factor (GCF) of 59538 and 59545 is 1.

GCF(59538,59545) = 1

We will now calculate the prime factors of 59538 and 59545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59538 and 59545.

How to find the GCF of 59538 and 59545?

We will first find the prime factorization of 59538 and 59545. After we will calculate the factors of 59538 and 59545 and find the biggest common factor number .

Step-1: Prime Factorization of 59538

Prime factors of 59538 are 2, 3, 9923. Prime factorization of 59538 in exponential form is:

59538 = 2¹ × 3¹ × 9923¹

Step-2: Prime Factorization of 59545

Prime factors of 59545 are 5, 11909. Prime factorization of 59545 in exponential form is:

59545 = 5¹ × 11909¹

Step-3: Factors of 59538

List of positive integer factors of 59538 that divides 59538 without a remainder.

1, 2, 3, 6, 9923, 19846, 29769

Step-4: Factors of 59545

List of positive integer factors of 59545 that divides 59538 without a remainder.

1, 5, 11909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59538 and 59545. The biggest common factor number is the GCF number.
So the greatest common factor 59538 and 59545 is 1.

Also check out the Least Common Multiple of 59538 and 59545