What is the Greatest Common Factor of 61396 and 61416?

Greatest common factor (GCF) of 61396 and 61416 is 4.

GCF(61396,61416) = 4

We will now calculate the prime factors of 61396 and 61416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61396 and 61416.

How to find the GCF of 61396 and 61416?

We will first find the prime factorization of 61396 and 61416. After we will calculate the factors of 61396 and 61416 and find the biggest common factor number .

Step-1: Prime Factorization of 61396

Prime factors of 61396 are 2, 15349. Prime factorization of 61396 in exponential form is:

61396 = 2² × 15349¹

Step-2: Prime Factorization of 61416

Prime factors of 61416 are 2, 3, 853. Prime factorization of 61416 in exponential form is:

61416 = 2³ × 3² × 853¹

Step-3: Factors of 61396

List of positive integer factors of 61396 that divides 61396 without a remainder.

1, 2, 4, 15349, 30698

Step-4: Factors of 61416

List of positive integer factors of 61416 that divides 61396 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 853, 1706, 2559, 3412, 5118, 6824, 7677, 10236, 15354, 20472, 30708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61396 and 61416. The biggest common factor number is the GCF number.
So the greatest common factor 61396 and 61416 is 4.

Also check out the Least Common Multiple of 61396 and 61416