What is the Greatest Common Factor of 61368 and 61372?

Greatest common factor (GCF) of 61368 and 61372 is 4.

GCF(61368,61372) = 4

We will now calculate the prime factors of 61368 and 61372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61368 and 61372.

How to find the GCF of 61368 and 61372?

We will first find the prime factorization of 61368 and 61372. After we will calculate the factors of 61368 and 61372 and find the biggest common factor number .

Step-1: Prime Factorization of 61368

Prime factors of 61368 are 2, 3, 2557. Prime factorization of 61368 in exponential form is:

61368 = 2³ × 3¹ × 2557¹

Step-2: 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-3: Factors of 61368

List of positive integer factors of 61368 that divides 61368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2557, 5114, 7671, 10228, 15342, 20456, 30684

Step-4: Factors of 61372

List of positive integer factors of 61372 that divides 61368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61368 and 61372. The biggest common factor number is the GCF number.
So the greatest common factor 61368 and 61372 is 4.

Also check out the Least Common Multiple of 61368 and 61372