What is the Greatest Common Factor of 59538 and 59550?

Greatest common factor (GCF) of 59538 and 59550 is 6.

GCF(59538,59550) = 6

We will now calculate the prime factors of 59538 and 59550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59538 and 59550.

How to find the GCF of 59538 and 59550?

We will first find the prime factorization of 59538 and 59550. After we will calculate the factors of 59538 and 59550 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 59550

Prime factors of 59550 are 2, 3, 5, 397. Prime factorization of 59550 in exponential form is:

59550 = 2¹ × 3¹ × 5² × 397¹

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 59550

List of positive integer factors of 59550 that divides 59538 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 397, 794, 1191, 1985, 2382, 3970, 5955, 9925, 11910, 19850, 29775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59538 and 59550. The biggest common factor number is the GCF number.
So the greatest common factor 59538 and 59550 is 6.

Also check out the Least Common Multiple of 59538 and 59550