What is the Greatest Common Factor of 59376 and 59396?

Greatest common factor (GCF) of 59376 and 59396 is 4.

GCF(59376,59396) = 4

We will now calculate the prime factors of 59376 and 59396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59376 and 59396.

How to find the GCF of 59376 and 59396?

We will first find the prime factorization of 59376 and 59396. After we will calculate the factors of 59376 and 59396 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 59396

Prime factors of 59396 are 2, 31, 479. Prime factorization of 59396 in exponential form is:

59396 = 2² × 31¹ × 479¹

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 59396

List of positive integer factors of 59396 that divides 59376 without a remainder.

1, 2, 4, 31, 62, 124, 479, 958, 1916, 14849, 29698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59376 and 59396. The biggest common factor number is the GCF number.
So the greatest common factor 59376 and 59396 is 4.

Also check out the Least Common Multiple of 59376 and 59396