What is the Greatest Common Factor of 59376 and 59384?

Greatest common factor (GCF) of 59376 and 59384 is 8.

GCF(59376,59384) = 8

We will now calculate the prime factors of 59376 and 59384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59376 and 59384.

How to find the GCF of 59376 and 59384?

We will first find the prime factorization of 59376 and 59384. After we will calculate the factors of 59376 and 59384 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 59384

Prime factors of 59384 are 2, 13, 571. Prime factorization of 59384 in exponential form is:

59384 = 2³ × 13¹ × 571¹

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 59384

List of positive integer factors of 59384 that divides 59376 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 571, 1142, 2284, 4568, 7423, 14846, 29692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59376 and 59384. The biggest common factor number is the GCF number.
So the greatest common factor 59376 and 59384 is 8.

Also check out the Least Common Multiple of 59376 and 59384