What is the Greatest Common Factor of 61345 and 61358?

Greatest common factor (GCF) of 61345 and 61358 is 1.

GCF(61345,61358) = 1

We will now calculate the prime factors of 61345 and 61358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61345 and 61358.

How to find the GCF of 61345 and 61358?

We will first find the prime factorization of 61345 and 61358. After we will calculate the factors of 61345 and 61358 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 61358

Prime factors of 61358 are 2, 11, 2789. Prime factorization of 61358 in exponential form is:

61358 = 2¹ × 11¹ × 2789¹

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 61358

List of positive integer factors of 61358 that divides 61345 without a remainder.

1, 2, 11, 22, 2789, 5578, 30679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61345 and 61358. The biggest common factor number is the GCF number.
So the greatest common factor 61345 and 61358 is 1.

Also check out the Least Common Multiple of 61345 and 61358