What is the Greatest Common Factor of 62375 and 62380?

Greatest common factor (GCF) of 62375 and 62380 is 5.

GCF(62375,62380) = 5

We will now calculate the prime factors of 62375 and 62380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62375 and 62380.

How to find the GCF of 62375 and 62380?

We will first find the prime factorization of 62375 and 62380. After we will calculate the factors of 62375 and 62380 and find the biggest common factor number .

Step-1: Prime Factorization of 62375

Prime factors of 62375 are 5, 499. Prime factorization of 62375 in exponential form is:

62375 = 5³ × 499¹

Step-2: Prime Factorization of 62380

Prime factors of 62380 are 2, 5, 3119. Prime factorization of 62380 in exponential form is:

62380 = 2² × 5¹ × 3119¹

Step-3: Factors of 62375

List of positive integer factors of 62375 that divides 62375 without a remainder.

1, 5, 25, 125, 499, 2495, 12475

Step-4: Factors of 62380

List of positive integer factors of 62380 that divides 62375 without a remainder.

1, 2, 4, 5, 10, 20, 3119, 6238, 12476, 15595, 31190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62375 and 62380. The biggest common factor number is the GCF number.
So the greatest common factor 62375 and 62380 is 5.

Also check out the Least Common Multiple of 62375 and 62380