What is the Greatest Common Factor of 52535 and 52545?

Greatest common factor (GCF) of 52535 and 52545 is 5.

GCF(52535,52545) = 5

We will now calculate the prime factors of 52535 and 52545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52535 and 52545.

How to find the GCF of 52535 and 52545?

We will first find the prime factorization of 52535 and 52545. After we will calculate the factors of 52535 and 52545 and find the biggest common factor number .

Step-1: Prime Factorization of 52535

Prime factors of 52535 are 5, 7, 19, 79. Prime factorization of 52535 in exponential form is:

52535 = 5¹ × 7¹ × 19¹ × 79¹

Step-2: Prime Factorization of 52545

Prime factors of 52545 are 3, 5, 31, 113. Prime factorization of 52545 in exponential form is:

52545 = 3¹ × 5¹ × 31¹ × 113¹

Step-3: Factors of 52535

List of positive integer factors of 52535 that divides 52535 without a remainder.

1, 5, 7, 19, 35, 79, 95, 133, 395, 553, 665, 1501, 2765, 7505, 10507

Step-4: Factors of 52545

List of positive integer factors of 52545 that divides 52535 without a remainder.

1, 3, 5, 15, 31, 93, 113, 155, 339, 465, 565, 1695, 3503, 10509, 17515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52535 and 52545. The biggest common factor number is the GCF number.
So the greatest common factor 52535 and 52545 is 5.

Also check out the Least Common Multiple of 52535 and 52545