What is the Greatest Common Factor of 60372 and 60376?

Greatest common factor (GCF) of 60372 and 60376 is 4.

GCF(60372,60376) = 4

We will now calculate the prime factors of 60372 and 60376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60372 and 60376.

How to find the GCF of 60372 and 60376?

We will first find the prime factorization of 60372 and 60376. After we will calculate the factors of 60372 and 60376 and find the biggest common factor number .

Step-1: Prime Factorization of 60372

Prime factors of 60372 are 2, 3, 13, 43. Prime factorization of 60372 in exponential form is:

60372 = 2² × 3³ × 13¹ × 43¹

Step-2: Prime Factorization of 60376

Prime factors of 60376 are 2, 7547. Prime factorization of 60376 in exponential form is:

60376 = 2³ × 7547¹

Step-3: Factors of 60372

List of positive integer factors of 60372 that divides 60372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 43, 52, 54, 78, 86, 108, 117, 129, 156, 172, 234, 258, 351, 387, 468, 516, 559, 702, 774, 1118, 1161, 1404, 1548, 1677, 2236, 2322, 3354, 4644, 5031, 6708, 10062, 15093, 20124, 30186

Step-4: Factors of 60376

List of positive integer factors of 60376 that divides 60372 without a remainder.

1, 2, 4, 8, 7547, 15094, 30188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60372 and 60376. The biggest common factor number is the GCF number.
So the greatest common factor 60372 and 60376 is 4.

Also check out the Least Common Multiple of 60372 and 60376