What is the Greatest Common Factor of 52700 and 52710?

Greatest common factor (GCF) of 52700 and 52710 is 10.

GCF(52700,52710) = 10

We will now calculate the prime factors of 52700 and 52710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52700 and 52710.

How to find the GCF of 52700 and 52710?

We will first find the prime factorization of 52700 and 52710. After we will calculate the factors of 52700 and 52710 and find the biggest common factor number .

Step-1: Prime Factorization of 52700

Prime factors of 52700 are 2, 5, 17, 31. Prime factorization of 52700 in exponential form is:

52700 = 2² × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 52710

Prime factors of 52710 are 2, 3, 5, 7, 251. Prime factorization of 52710 in exponential form is:

52710 = 2¹ × 3¹ × 5¹ × 7¹ × 251¹

Step-3: Factors of 52700

List of positive integer factors of 52700 that divides 52700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 31, 34, 50, 62, 68, 85, 100, 124, 155, 170, 310, 340, 425, 527, 620, 775, 850, 1054, 1550, 1700, 2108, 2635, 3100, 5270, 10540, 13175, 26350

Step-4: Factors of 52710

List of positive integer factors of 52710 that divides 52700 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 251, 502, 753, 1255, 1506, 1757, 2510, 3514, 3765, 5271, 7530, 8785, 10542, 17570, 26355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52700 and 52710. The biggest common factor number is the GCF number.
So the greatest common factor 52700 and 52710 is 10.

Also check out the Least Common Multiple of 52700 and 52710