What is the Greatest Common Factor of 61418 and 61432?

Greatest common factor (GCF) of 61418 and 61432 is 14.

GCF(61418,61432) = 14

We will now calculate the prime factors of 61418 and 61432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61418 and 61432.

How to find the GCF of 61418 and 61432?

We will first find the prime factorization of 61418 and 61432. After we will calculate the factors of 61418 and 61432 and find the biggest common factor number .

Step-1: Prime Factorization of 61418

Prime factors of 61418 are 2, 7, 41, 107. Prime factorization of 61418 in exponential form is:

61418 = 2¹ × 7¹ × 41¹ × 107¹

Step-2: Prime Factorization of 61432

Prime factors of 61432 are 2, 7, 1097. Prime factorization of 61432 in exponential form is:

61432 = 2³ × 7¹ × 1097¹

Step-3: Factors of 61418

List of positive integer factors of 61418 that divides 61418 without a remainder.

1, 2, 7, 14, 41, 82, 107, 214, 287, 574, 749, 1498, 4387, 8774, 30709

Step-4: Factors of 61432

List of positive integer factors of 61432 that divides 61418 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1097, 2194, 4388, 7679, 8776, 15358, 30716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61418 and 61432. The biggest common factor number is the GCF number.
So the greatest common factor 61418 and 61432 is 14.

Also check out the Least Common Multiple of 61418 and 61432