What is the Greatest Common Factor of 61399 and 61412?

Greatest common factor (GCF) of 61399 and 61412 is 13.

GCF(61399,61412) = 13

We will now calculate the prime factors of 61399 and 61412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61399 and 61412.

How to find the GCF of 61399 and 61412?

We will first find the prime factorization of 61399 and 61412. After we will calculate the factors of 61399 and 61412 and find the biggest common factor number .

Step-1: Prime Factorization of 61399

Prime factors of 61399 are 13, 4723. Prime factorization of 61399 in exponential form is:

61399 = 13¹ × 4723¹

Step-2: Prime Factorization of 61412

Prime factors of 61412 are 2, 13, 1181. Prime factorization of 61412 in exponential form is:

61412 = 2² × 13¹ × 1181¹

Step-3: Factors of 61399

List of positive integer factors of 61399 that divides 61399 without a remainder.

1, 13, 4723

Step-4: Factors of 61412

List of positive integer factors of 61412 that divides 61399 without a remainder.

1, 2, 4, 13, 26, 52, 1181, 2362, 4724, 15353, 30706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61399 and 61412. The biggest common factor number is the GCF number.
So the greatest common factor 61399 and 61412 is 13.

Also check out the Least Common Multiple of 61399 and 61412