What is the Greatest Common Factor of 61382 and 61396?

Greatest common factor (GCF) of 61382 and 61396 is 2.

GCF(61382,61396) = 2

We will now calculate the prime factors of 61382 and 61396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61382 and 61396.

How to find the GCF of 61382 and 61396?

We will first find the prime factorization of 61382 and 61396. After we will calculate the factors of 61382 and 61396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61396

Prime factors of 61396 are 2, 15349. Prime factorization of 61396 in exponential form is:

61396 = 2² × 15349¹

Step-3: Factors of 61382

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

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

Step-4: Factors of 61396

List of positive integer factors of 61396 that divides 61382 without a remainder.

1, 2, 4, 15349, 30698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61382 and 61396. The biggest common factor number is the GCF number.
So the greatest common factor 61382 and 61396 is 2.

Also check out the Least Common Multiple of 61382 and 61396