What is the Greatest Common Factor of 61345 and 61355?

Greatest common factor (GCF) of 61345 and 61355 is 5.

GCF(61345,61355) = 5

We will now calculate the prime factors of 61345 and 61355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61345 and 61355.

How to find the GCF of 61345 and 61355?

We will first find the prime factorization of 61345 and 61355. After we will calculate the factors of 61345 and 61355 and find the biggest common factor number .

Step-1: Prime Factorization of 61345

Prime factors of 61345 are 5, 12269. Prime factorization of 61345 in exponential form is:

61345 = 5¹ × 12269¹

Step-2: Prime Factorization of 61355

Prime factors of 61355 are 5, 7, 1753. Prime factorization of 61355 in exponential form is:

61355 = 5¹ × 7¹ × 1753¹

Step-3: Factors of 61345

List of positive integer factors of 61345 that divides 61345 without a remainder.

1, 5, 12269

Step-4: Factors of 61355

List of positive integer factors of 61355 that divides 61345 without a remainder.

1, 5, 7, 35, 1753, 8765, 12271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61345 and 61355. The biggest common factor number is the GCF number.
So the greatest common factor 61345 and 61355 is 5.

Also check out the Least Common Multiple of 61345 and 61355