What is the Greatest Common Factor of 61372 and 61386?

Greatest common factor (GCF) of 61372 and 61386 is 2.

GCF(61372,61386) = 2

We will now calculate the prime factors of 61372 and 61386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61372 and 61386.

How to find the GCF of 61372 and 61386?

We will first find the prime factorization of 61372 and 61386. After we will calculate the factors of 61372 and 61386 and find the biggest common factor number .

Step-1: Prime Factorization of 61372

Prime factors of 61372 are 2, 67, 229. Prime factorization of 61372 in exponential form is:

61372 = 2² × 67¹ × 229¹

Step-2: Prime Factorization of 61386

Prime factors of 61386 are 2, 3, 13, 787. Prime factorization of 61386 in exponential form is:

61386 = 2¹ × 3¹ × 13¹ × 787¹

Step-3: Factors of 61372

List of positive integer factors of 61372 that divides 61372 without a remainder.

1, 2, 4, 67, 134, 229, 268, 458, 916, 15343, 30686

Step-4: Factors of 61386

List of positive integer factors of 61386 that divides 61372 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 787, 1574, 2361, 4722, 10231, 20462, 30693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61372 and 61386. The biggest common factor number is the GCF number.
So the greatest common factor 61372 and 61386 is 2.

Also check out the Least Common Multiple of 61372 and 61386