What is the Greatest Common Factor of 53475 and 53485?

Greatest common factor (GCF) of 53475 and 53485 is 5.

GCF(53475,53485) = 5

We will now calculate the prime factors of 53475 and 53485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53475 and 53485.

How to find the GCF of 53475 and 53485?

We will first find the prime factorization of 53475 and 53485. After we will calculate the factors of 53475 and 53485 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 53485

Prime factors of 53485 are 5, 19, 563. Prime factorization of 53485 in exponential form is:

53485 = 5¹ × 19¹ × 563¹

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 53485

List of positive integer factors of 53485 that divides 53475 without a remainder.

1, 5, 19, 95, 563, 2815, 10697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53475 and 53485. The biggest common factor number is the GCF number.
So the greatest common factor 53475 and 53485 is 5.

Also check out the Least Common Multiple of 53475 and 53485