What is the Greatest Common Factor of 53375 and 53389?

Greatest common factor (GCF) of 53375 and 53389 is 7.

GCF(53375,53389) = 7

We will now calculate the prime factors of 53375 and 53389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53375 and 53389.

How to find the GCF of 53375 and 53389?

We will first find the prime factorization of 53375 and 53389. After we will calculate the factors of 53375 and 53389 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 53389

Prime factors of 53389 are 7, 29, 263. Prime factorization of 53389 in exponential form is:

53389 = 7¹ × 29¹ × 263¹

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 53389

List of positive integer factors of 53389 that divides 53375 without a remainder.

1, 7, 29, 203, 263, 1841, 7627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53375 and 53389. The biggest common factor number is the GCF number.
So the greatest common factor 53375 and 53389 is 7.

Also check out the Least Common Multiple of 53375 and 53389