What is the Greatest Common Factor of 61364 and 61382?

Greatest common factor (GCF) of 61364 and 61382 is 2.

GCF(61364,61382) = 2

We will now calculate the prime factors of 61364 and 61382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61364 and 61382.

How to find the GCF of 61364 and 61382?

We will first find the prime factorization of 61364 and 61382. After we will calculate the factors of 61364 and 61382 and find the biggest common factor number .

Step-1: Prime Factorization of 61364

Prime factors of 61364 are 2, 23, 29. Prime factorization of 61364 in exponential form is:

61364 = 2² × 23² × 29¹

Step-2: Prime Factorization of 61382

Prime factors of 61382 are 2, 47, 653. Prime factorization of 61382 in exponential form is:

61382 = 2¹ × 47¹ × 653¹

Step-3: Factors of 61364

List of positive integer factors of 61364 that divides 61364 without a remainder.

1, 2, 4, 23, 29, 46, 58, 92, 116, 529, 667, 1058, 1334, 2116, 2668, 15341, 30682

Step-4: Factors of 61382

List of positive integer factors of 61382 that divides 61364 without a remainder.

1, 2, 47, 94, 653, 1306, 30691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61364 and 61382. The biggest common factor number is the GCF number.
So the greatest common factor 61364 and 61382 is 2.

Also check out the Least Common Multiple of 61364 and 61382