What is the Greatest Common Factor of 59700 and 59710?

Greatest common factor (GCF) of 59700 and 59710 is 10.

GCF(59700,59710) = 10

We will now calculate the prime factors of 59700 and 59710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59700 and 59710.

How to find the GCF of 59700 and 59710?

We will first find the prime factorization of 59700 and 59710. After we will calculate the factors of 59700 and 59710 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 59710

Prime factors of 59710 are 2, 5, 7, 853. Prime factorization of 59710 in exponential form is:

59710 = 2¹ × 5¹ × 7¹ × 853¹

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 59710

List of positive integer factors of 59710 that divides 59700 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 853, 1706, 4265, 5971, 8530, 11942, 29855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59700 and 59710. The biggest common factor number is the GCF number.
So the greatest common factor 59700 and 59710 is 10.

Also check out the Least Common Multiple of 59700 and 59710