What is the Greatest Common Factor of 61353 and 61370?

Greatest common factor (GCF) of 61353 and 61370 is 17.

GCF(61353,61370) = 17

We will now calculate the prime factors of 61353 and 61370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61353 and 61370.

How to find the GCF of 61353 and 61370?

We will first find the prime factorization of 61353 and 61370. After we will calculate the factors of 61353 and 61370 and find the biggest common factor number .

Step-1: Prime Factorization of 61353

Prime factors of 61353 are 3, 17, 401. Prime factorization of 61353 in exponential form is:

61353 = 3² × 17¹ × 401¹

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 61353

List of positive integer factors of 61353 that divides 61353 without a remainder.

1, 3, 9, 17, 51, 153, 401, 1203, 3609, 6817, 20451

Step-4: Factors of 61370

List of positive integer factors of 61370 that divides 61353 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 61353 and 61370. The biggest common factor number is the GCF number.
So the greatest common factor 61353 and 61370 is 17.

Also check out the Least Common Multiple of 61353 and 61370