What is the Greatest Common Factor of 52700 and 52708?

Greatest common factor (GCF) of 52700 and 52708 is 4.

GCF(52700,52708) = 4

We will now calculate the prime factors of 52700 and 52708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52700 and 52708.

How to find the GCF of 52700 and 52708?

We will first find the prime factorization of 52700 and 52708. After we will calculate the factors of 52700 and 52708 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 52708

Prime factors of 52708 are 2, 13177. Prime factorization of 52708 in exponential form is:

52708 = 2² × 13177¹

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 52708

List of positive integer factors of 52708 that divides 52700 without a remainder.

1, 2, 4, 13177, 26354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52700 and 52708. The biggest common factor number is the GCF number.
So the greatest common factor 52700 and 52708 is 4.

Also check out the Least Common Multiple of 52700 and 52708