What is the Greatest Common Factor of 53475 and 53495?

Greatest common factor (GCF) of 53475 and 53495 is 5.

GCF(53475,53495) = 5

We will now calculate the prime factors of 53475 and 53495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53475 and 53495.

How to find the GCF of 53475 and 53495?

We will first find the prime factorization of 53475 and 53495. After we will calculate the factors of 53475 and 53495 and find the biggest common factor number .

Step-1: Prime Factorization of 53475

Prime factors of 53475 are 3, 5, 23, 31. Prime factorization of 53475 in exponential form is:

53475 = 3¹ × 5² × 23¹ × 31¹

Step-2: Prime Factorization of 53495

Prime factors of 53495 are 5, 13, 823. Prime factorization of 53495 in exponential form is:

53495 = 5¹ × 13¹ × 823¹

Step-3: Factors of 53475

List of positive integer factors of 53475 that divides 53475 without a remainder.

1, 3, 5, 15, 23, 25, 31, 69, 75, 93, 115, 155, 345, 465, 575, 713, 775, 1725, 2139, 2325, 3565, 10695, 17825

Step-4: Factors of 53495

List of positive integer factors of 53495 that divides 53475 without a remainder.

1, 5, 13, 65, 823, 4115, 10699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53475 and 53495. The biggest common factor number is the GCF number.
So the greatest common factor 53475 and 53495 is 5.

Also check out the Least Common Multiple of 53475 and 53495