What is the Greatest Common Factor of 52525 and 52540?

Greatest common factor (GCF) of 52525 and 52540 is 5.

GCF(52525,52540) = 5

We will now calculate the prime factors of 52525 and 52540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52525 and 52540.

How to find the GCF of 52525 and 52540?

We will first find the prime factorization of 52525 and 52540. After we will calculate the factors of 52525 and 52540 and find the biggest common factor number .

Step-1: Prime Factorization of 52525

Prime factors of 52525 are 5, 11, 191. Prime factorization of 52525 in exponential form is:

52525 = 5² × 11¹ × 191¹

Step-2: Prime Factorization of 52540

Prime factors of 52540 are 2, 5, 37, 71. Prime factorization of 52540 in exponential form is:

52540 = 2² × 5¹ × 37¹ × 71¹

Step-3: Factors of 52525

List of positive integer factors of 52525 that divides 52525 without a remainder.

1, 5, 11, 25, 55, 191, 275, 955, 2101, 4775, 10505

Step-4: Factors of 52540

List of positive integer factors of 52540 that divides 52525 without a remainder.

1, 2, 4, 5, 10, 20, 37, 71, 74, 142, 148, 185, 284, 355, 370, 710, 740, 1420, 2627, 5254, 10508, 13135, 26270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52525 and 52540. The biggest common factor number is the GCF number.
So the greatest common factor 52525 and 52540 is 5.

Also check out the Least Common Multiple of 52525 and 52540