What is the Greatest Common Factor of 52700 and 52711?

Greatest common factor (GCF) of 52700 and 52711 is 1.

GCF(52700,52711) = 1

We will now calculate the prime factors of 52700 and 52711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52700 and 52711.

How to find the GCF of 52700 and 52711?

We will first find the prime factorization of 52700 and 52711. After we will calculate the factors of 52700 and 52711 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 52711

Prime factors of 52711 are 52711. Prime factorization of 52711 in exponential form is:

52711 = 52711¹

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 52711

List of positive integer factors of 52711 that divides 52700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52700 and 52711. The biggest common factor number is the GCF number.
So the greatest common factor 52700 and 52711 is 1.

Also check out the Least Common Multiple of 52700 and 52711