What is the Greatest Common Factor of 61416 and 61422?

Greatest common factor (GCF) of 61416 and 61422 is 6.

GCF(61416,61422) = 6

We will now calculate the prime factors of 61416 and 61422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61416 and 61422.

How to find the GCF of 61416 and 61422?

We will first find the prime factorization of 61416 and 61422. After we will calculate the factors of 61416 and 61422 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61422

Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:

61422 = 2¹ × 3¹ × 29¹ × 353¹

Step-3: Factors of 61416

List of positive integer factors of 61416 that divides 61416 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

Step-4: Factors of 61422

List of positive integer factors of 61422 that divides 61416 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 353, 706, 1059, 2118, 10237, 20474, 30711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61416 and 61422. The biggest common factor number is the GCF number.
So the greatest common factor 61416 and 61422 is 6.

Also check out the Least Common Multiple of 61416 and 61422