What is the Greatest Common Factor of 53525 and 53535?

Greatest common factor (GCF) of 53525 and 53535 is 5.

GCF(53525,53535) = 5

We will now calculate the prime factors of 53525 and 53535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53525 and 53535.

How to find the GCF of 53525 and 53535?

We will first find the prime factorization of 53525 and 53535. After we will calculate the factors of 53525 and 53535 and find the biggest common factor number .

Step-1: Prime Factorization of 53525

Prime factors of 53525 are 5, 2141. Prime factorization of 53525 in exponential form is:

53525 = 5² × 2141¹

Step-2: Prime Factorization of 53535

Prime factors of 53535 are 3, 5, 43, 83. Prime factorization of 53535 in exponential form is:

53535 = 3¹ × 5¹ × 43¹ × 83¹

Step-3: Factors of 53525

List of positive integer factors of 53525 that divides 53525 without a remainder.

1, 5, 25, 2141, 10705

Step-4: Factors of 53535

List of positive integer factors of 53535 that divides 53525 without a remainder.

1, 3, 5, 15, 43, 83, 129, 215, 249, 415, 645, 1245, 3569, 10707, 17845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53525 and 53535. The biggest common factor number is the GCF number.
So the greatest common factor 53525 and 53535 is 5.

Also check out the Least Common Multiple of 53525 and 53535