What is the Greatest Common Factor of 61370 and 61375?

Greatest common factor (GCF) of 61370 and 61375 is 5.

GCF(61370,61375) = 5

We will now calculate the prime factors of 61370 and 61375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61370 and 61375.

How to find the GCF of 61370 and 61375?

We will first find the prime factorization of 61370 and 61375. After we will calculate the factors of 61370 and 61375 and find the biggest common factor number .

Step-1: Prime Factorization of 61370

Prime factors of 61370 are 2, 5, 17, 19. Prime factorization of 61370 in exponential form is:

61370 = 2¹ × 5¹ × 17¹ × 19²

Step-2: Prime Factorization of 61375

Prime factors of 61375 are 5, 491. Prime factorization of 61375 in exponential form is:

61375 = 5³ × 491¹

Step-3: Factors of 61370

List of positive integer factors of 61370 that divides 61370 without a remainder.

1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 361, 646, 722, 1615, 1805, 3230, 3610, 6137, 12274, 30685

Step-4: Factors of 61375

List of positive integer factors of 61375 that divides 61370 without a remainder.

1, 5, 25, 125, 491, 2455, 12275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61370 and 61375. The biggest common factor number is the GCF number.
So the greatest common factor 61370 and 61375 is 5.

Also check out the Least Common Multiple of 61370 and 61375