What is the Greatest Common Factor of 52750 and 52760?

Greatest common factor (GCF) of 52750 and 52760 is 10.

GCF(52750,52760) = 10

We will now calculate the prime factors of 52750 and 52760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52750 and 52760.

How to find the GCF of 52750 and 52760?

We will first find the prime factorization of 52750 and 52760. After we will calculate the factors of 52750 and 52760 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 52760

Prime factors of 52760 are 2, 5, 1319. Prime factorization of 52760 in exponential form is:

52760 = 2³ × 5¹ × 1319¹

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 52760

List of positive integer factors of 52760 that divides 52750 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1319, 2638, 5276, 6595, 10552, 13190, 26380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52750 and 52760. The biggest common factor number is the GCF number.
So the greatest common factor 52750 and 52760 is 10.

Also check out the Least Common Multiple of 52750 and 52760