What is the Greatest Common Factor of 61416 and 61434?

Greatest common factor (GCF) of 61416 and 61434 is 18.

GCF(61416,61434) = 18

We will now calculate the prime factors of 61416 and 61434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61416 and 61434.

How to find the GCF of 61416 and 61434?

We will first find the prime factorization of 61416 and 61434. After we will calculate the factors of 61416 and 61434 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 61434

Prime factors of 61434 are 2, 3, 3413. Prime factorization of 61434 in exponential form is:

61434 = 2¹ × 3² × 3413¹

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 61434

List of positive integer factors of 61434 that divides 61416 without a remainder.

1, 2, 3, 6, 9, 18, 3413, 6826, 10239, 20478, 30717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61416 and 61434. The biggest common factor number is the GCF number.
So the greatest common factor 61416 and 61434 is 18.

Also check out the Least Common Multiple of 61416 and 61434