What is the Greatest Common Factor of 59700 and 59715?

Greatest common factor (GCF) of 59700 and 59715 is 15.

GCF(59700,59715) = 15

We will now calculate the prime factors of 59700 and 59715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59700 and 59715.

How to find the GCF of 59700 and 59715?

We will first find the prime factorization of 59700 and 59715. After we will calculate the factors of 59700 and 59715 and find the biggest common factor number .

Step-1: Prime Factorization of 59700

Prime factors of 59700 are 2, 3, 5, 199. Prime factorization of 59700 in exponential form is:

59700 = 2² × 3¹ × 5² × 199¹

Step-2: Prime Factorization of 59715

Prime factors of 59715 are 3, 5, 1327. Prime factorization of 59715 in exponential form is:

59715 = 3² × 5¹ × 1327¹

Step-3: Factors of 59700

List of positive integer factors of 59700 that divides 59700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 199, 300, 398, 597, 796, 995, 1194, 1990, 2388, 2985, 3980, 4975, 5970, 9950, 11940, 14925, 19900, 29850

Step-4: Factors of 59715

List of positive integer factors of 59715 that divides 59700 without a remainder.

1, 3, 5, 9, 15, 45, 1327, 3981, 6635, 11943, 19905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59700 and 59715. The biggest common factor number is the GCF number.
So the greatest common factor 59700 and 59715 is 15.

Also check out the Least Common Multiple of 59700 and 59715