What is the Greatest Common Factor of 61424 and 61432?

Greatest common factor (GCF) of 61424 and 61432 is 8.

GCF(61424,61432) = 8

We will now calculate the prime factors of 61424 and 61432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61424 and 61432.

How to find the GCF of 61424 and 61432?

We will first find the prime factorization of 61424 and 61432. After we will calculate the factors of 61424 and 61432 and find the biggest common factor number .

Step-1: Prime Factorization of 61424

Prime factors of 61424 are 2, 11, 349. Prime factorization of 61424 in exponential form is:

61424 = 2⁴ × 11¹ × 349¹

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 61424

List of positive integer factors of 61424 that divides 61424 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584, 7678, 15356, 30712

Step-4: Factors of 61432

List of positive integer factors of 61432 that divides 61424 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 61424 and 61432. The biggest common factor number is the GCF number.
So the greatest common factor 61424 and 61432 is 8.

Also check out the Least Common Multiple of 61424 and 61432