What is the Greatest Common Factor of 53240 and 53255?

Greatest common factor (GCF) of 53240 and 53255 is 5.

GCF(53240,53255) = 5

We will now calculate the prime factors of 53240 and 53255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53240 and 53255.

How to find the GCF of 53240 and 53255?

We will first find the prime factorization of 53240 and 53255. After we will calculate the factors of 53240 and 53255 and find the biggest common factor number .

Step-1: Prime Factorization of 53240

Prime factors of 53240 are 2, 5, 11. Prime factorization of 53240 in exponential form is:

53240 = 2³ × 5¹ × 11³

Step-2: Prime Factorization of 53255

Prime factors of 53255 are 5, 10651. Prime factorization of 53255 in exponential form is:

53255 = 5¹ × 10651¹

Step-3: Factors of 53240

List of positive integer factors of 53240 that divides 53240 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 1331, 2420, 2662, 4840, 5324, 6655, 10648, 13310, 26620

Step-4: Factors of 53255

List of positive integer factors of 53255 that divides 53240 without a remainder.

1, 5, 10651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53240 and 53255. The biggest common factor number is the GCF number.
So the greatest common factor 53240 and 53255 is 5.

Also check out the Least Common Multiple of 53240 and 53255