What is the Greatest Common Factor of 59376 and 59382?

Greatest common factor (GCF) of 59376 and 59382 is 6.

GCF(59376,59382) = 6

We will now calculate the prime factors of 59376 and 59382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59376 and 59382.

How to find the GCF of 59376 and 59382?

We will first find the prime factorization of 59376 and 59382. After we will calculate the factors of 59376 and 59382 and find the biggest common factor number .

Step-1: Prime Factorization of 59376

Prime factors of 59376 are 2, 3, 1237. Prime factorization of 59376 in exponential form is:

59376 = 2⁴ × 3¹ × 1237¹

Step-2: Prime Factorization of 59382

Prime factors of 59382 are 2, 3, 3299. Prime factorization of 59382 in exponential form is:

59382 = 2¹ × 3² × 3299¹

Step-3: Factors of 59376

List of positive integer factors of 59376 that divides 59376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1237, 2474, 3711, 4948, 7422, 9896, 14844, 19792, 29688

Step-4: Factors of 59382

List of positive integer factors of 59382 that divides 59376 without a remainder.

1, 2, 3, 6, 9, 18, 3299, 6598, 9897, 19794, 29691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59376 and 59382. The biggest common factor number is the GCF number.
So the greatest common factor 59376 and 59382 is 6.

Also check out the Least Common Multiple of 59376 and 59382