What is the Greatest Common Factor of 53375 and 53395?

Greatest common factor (GCF) of 53375 and 53395 is 5.

GCF(53375,53395) = 5

We will now calculate the prime factors of 53375 and 53395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53375 and 53395.

How to find the GCF of 53375 and 53395?

We will first find the prime factorization of 53375 and 53395. After we will calculate the factors of 53375 and 53395 and find the biggest common factor number .

Step-1: Prime Factorization of 53375

Prime factors of 53375 are 5, 7, 61. Prime factorization of 53375 in exponential form is:

53375 = 5³ × 7¹ × 61¹

Step-2: Prime Factorization of 53395

Prime factors of 53395 are 5, 59, 181. Prime factorization of 53395 in exponential form is:

53395 = 5¹ × 59¹ × 181¹

Step-3: Factors of 53375

List of positive integer factors of 53375 that divides 53375 without a remainder.

1, 5, 7, 25, 35, 61, 125, 175, 305, 427, 875, 1525, 2135, 7625, 10675

Step-4: Factors of 53395

List of positive integer factors of 53395 that divides 53375 without a remainder.

1, 5, 59, 181, 295, 905, 10679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53375 and 53395. The biggest common factor number is the GCF number.
So the greatest common factor 53375 and 53395 is 5.

Also check out the Least Common Multiple of 53375 and 53395