What is the Greatest Common Factor of 53375 and 53385?

Greatest common factor (GCF) of 53375 and 53385 is 5.

GCF(53375,53385) = 5

We will now calculate the prime factors of 53375 and 53385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53375 and 53385.

How to find the GCF of 53375 and 53385?

We will first find the prime factorization of 53375 and 53385. After we will calculate the factors of 53375 and 53385 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 53385

Prime factors of 53385 are 3, 5, 3559. Prime factorization of 53385 in exponential form is:

53385 = 3¹ × 5¹ × 3559¹

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 53385

List of positive integer factors of 53385 that divides 53375 without a remainder.

1, 3, 5, 15, 3559, 10677, 17795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53375 and 53385. The biggest common factor number is the GCF number.
So the greatest common factor 53375 and 53385 is 5.

Also check out the Least Common Multiple of 53375 and 53385