What is the Greatest Common Factor of 41340 and 41352?

Greatest common factor (GCF) of 41340 and 41352 is 12.

GCF(41340,41352) = 12

We will now calculate the prime factors of 41340 and 41352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41340 and 41352.

How to find the GCF of 41340 and 41352?

We will first find the prime factorization of 41340 and 41352. After we will calculate the factors of 41340 and 41352 and find the biggest common factor number .

Step-1: Prime Factorization of 41340

Prime factors of 41340 are 2, 3, 5, 13, 53. Prime factorization of 41340 in exponential form is:

41340 = 2² × 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 41352

Prime factors of 41352 are 2, 3, 1723. Prime factorization of 41352 in exponential form is:

41352 = 2³ × 3¹ × 1723¹

Step-3: Factors of 41340

List of positive integer factors of 41340 that divides 41340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 53, 60, 65, 78, 106, 130, 156, 159, 195, 212, 260, 265, 318, 390, 530, 636, 689, 780, 795, 1060, 1378, 1590, 2067, 2756, 3180, 3445, 4134, 6890, 8268, 10335, 13780, 20670

Step-4: Factors of 41352

List of positive integer factors of 41352 that divides 41340 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1723, 3446, 5169, 6892, 10338, 13784, 20676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41340 and 41352. The biggest common factor number is the GCF number.
So the greatest common factor 41340 and 41352 is 12.

Also check out the Least Common Multiple of 41340 and 41352