What is the Greatest Common Factor of 53225 and 53240?

Greatest common factor (GCF) of 53225 and 53240 is 5.

GCF(53225,53240) = 5

We will now calculate the prime factors of 53225 and 53240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53225 and 53240.

How to find the GCF of 53225 and 53240?

We will first find the prime factorization of 53225 and 53240. After we will calculate the factors of 53225 and 53240 and find the biggest common factor number .

Step-1: Prime Factorization of 53225

Prime factors of 53225 are 5, 2129. Prime factorization of 53225 in exponential form is:

53225 = 5² × 2129¹

Step-2: 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-3: Factors of 53225

List of positive integer factors of 53225 that divides 53225 without a remainder.

1, 5, 25, 2129, 10645

Step-4: Factors of 53240

List of positive integer factors of 53240 that divides 53225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53225 and 53240. The biggest common factor number is the GCF number.
So the greatest common factor 53225 and 53240 is 5.

Also check out the Least Common Multiple of 53225 and 53240