What is the Greatest Common Factor of 61416 and 61429?

Greatest common factor (GCF) of 61416 and 61429 is 1.

GCF(61416,61429) = 1

We will now calculate the prime factors of 61416 and 61429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61416 and 61429.

How to find the GCF of 61416 and 61429?

We will first find the prime factorization of 61416 and 61429. After we will calculate the factors of 61416 and 61429 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 61429

Prime factors of 61429 are 47, 1307. Prime factorization of 61429 in exponential form is:

61429 = 47¹ × 1307¹

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 61429

List of positive integer factors of 61429 that divides 61416 without a remainder.

1, 47, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61416 and 61429. The biggest common factor number is the GCF number.
So the greatest common factor 61416 and 61429 is 1.

Also check out the Least Common Multiple of 61416 and 61429