What is the Greatest Common Factor of 59358 and 59376?

Greatest common factor (GCF) of 59358 and 59376 is 6.

GCF(59358,59376) = 6

We will now calculate the prime factors of 59358 and 59376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59358 and 59376.

How to find the GCF of 59358 and 59376?

We will first find the prime factorization of 59358 and 59376. After we will calculate the factors of 59358 and 59376 and find the biggest common factor number .

Step-1: Prime Factorization of 59358

Prime factors of 59358 are 2, 3, 13, 761. Prime factorization of 59358 in exponential form is:

59358 = 2¹ × 3¹ × 13¹ × 761¹

Step-2: 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-3: Factors of 59358

List of positive integer factors of 59358 that divides 59358 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 761, 1522, 2283, 4566, 9893, 19786, 29679

Step-4: Factors of 59376

List of positive integer factors of 59376 that divides 59358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59358 and 59376. The biggest common factor number is the GCF number.
So the greatest common factor 59358 and 59376 is 6.

Also check out the Least Common Multiple of 59358 and 59376