What is the Greatest Common Factor of 59700 and 59712?

Greatest common factor (GCF) of 59700 and 59712 is 12.

GCF(59700,59712) = 12

We will now calculate the prime factors of 59700 and 59712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59700 and 59712.

How to find the GCF of 59700 and 59712?

We will first find the prime factorization of 59700 and 59712. After we will calculate the factors of 59700 and 59712 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 59712

Prime factors of 59712 are 2, 3, 311. Prime factorization of 59712 in exponential form is:

59712 = 2⁶ × 3¹ × 311¹

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 59712

List of positive integer factors of 59712 that divides 59700 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928, 19904, 29856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59700 and 59712. The biggest common factor number is the GCF number.
So the greatest common factor 59700 and 59712 is 12.

Also check out the Least Common Multiple of 59700 and 59712