What is the Greatest Common Factor of 52750 and 52770?

Greatest common factor (GCF) of 52750 and 52770 is 10.

GCF(52750,52770) = 10

We will now calculate the prime factors of 52750 and 52770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52750 and 52770.

How to find the GCF of 52750 and 52770?

We will first find the prime factorization of 52750 and 52770. After we will calculate the factors of 52750 and 52770 and find the biggest common factor number .

Step-1: Prime Factorization of 52750

Prime factors of 52750 are 2, 5, 211. Prime factorization of 52750 in exponential form is:

52750 = 2¹ × 5³ × 211¹

Step-2: Prime Factorization of 52770

Prime factors of 52770 are 2, 3, 5, 1759. Prime factorization of 52770 in exponential form is:

52770 = 2¹ × 3¹ × 5¹ × 1759¹

Step-3: Factors of 52750

List of positive integer factors of 52750 that divides 52750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 211, 250, 422, 1055, 2110, 5275, 10550, 26375

Step-4: Factors of 52770

List of positive integer factors of 52770 that divides 52750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1759, 3518, 5277, 8795, 10554, 17590, 26385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52750 and 52770. The biggest common factor number is the GCF number.
So the greatest common factor 52750 and 52770 is 10.

Also check out the Least Common Multiple of 52750 and 52770