What is the Greatest Common Factor of 52700 and 52718?

Greatest common factor (GCF) of 52700 and 52718 is 2.

GCF(52700,52718) = 2

We will now calculate the prime factors of 52700 and 52718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52700 and 52718.

How to find the GCF of 52700 and 52718?

We will first find the prime factorization of 52700 and 52718. After we will calculate the factors of 52700 and 52718 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 52718

Prime factors of 52718 are 2, 43, 613. Prime factorization of 52718 in exponential form is:

52718 = 2¹ × 43¹ × 613¹

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 52718

List of positive integer factors of 52718 that divides 52700 without a remainder.

1, 2, 43, 86, 613, 1226, 26359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52700 and 52718. The biggest common factor number is the GCF number.
So the greatest common factor 52700 and 52718 is 2.

Also check out the Least Common Multiple of 52700 and 52718