What is the Greatest Common Factor of 61351 and 61370?

Greatest common factor (GCF) of 61351 and 61370 is 19.

GCF(61351,61370) = 19

We will now calculate the prime factors of 61351 and 61370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61351 and 61370.

How to find the GCF of 61351 and 61370?

We will first find the prime factorization of 61351 and 61370. After we will calculate the factors of 61351 and 61370 and find the biggest common factor number .

Step-1: Prime Factorization of 61351

Prime factors of 61351 are 19, 3229. Prime factorization of 61351 in exponential form is:

61351 = 19¹ × 3229¹

Step-2: 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-3: Factors of 61351

List of positive integer factors of 61351 that divides 61351 without a remainder.

1, 19, 3229

Step-4: Factors of 61370

List of positive integer factors of 61370 that divides 61351 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61351 and 61370. The biggest common factor number is the GCF number.
So the greatest common factor 61351 and 61370 is 19.

Also check out the Least Common Multiple of 61351 and 61370