What is the Greatest Common Factor of 59356 and 59368?

Greatest common factor (GCF) of 59356 and 59368 is 4.

GCF(59356,59368) = 4

We will now calculate the prime factors of 59356 and 59368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59356 and 59368.

How to find the GCF of 59356 and 59368?

We will first find the prime factorization of 59356 and 59368. After we will calculate the factors of 59356 and 59368 and find the biggest common factor number .

Step-1: Prime Factorization of 59356

Prime factors of 59356 are 2, 11, 19, 71. Prime factorization of 59356 in exponential form is:

59356 = 2² × 11¹ × 19¹ × 71¹

Step-2: Prime Factorization of 59368

Prime factors of 59368 are 2, 41, 181. Prime factorization of 59368 in exponential form is:

59368 = 2³ × 41¹ × 181¹

Step-3: Factors of 59356

List of positive integer factors of 59356 that divides 59356 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 71, 76, 142, 209, 284, 418, 781, 836, 1349, 1562, 2698, 3124, 5396, 14839, 29678

Step-4: Factors of 59368

List of positive integer factors of 59368 that divides 59356 without a remainder.

1, 2, 4, 8, 41, 82, 164, 181, 328, 362, 724, 1448, 7421, 14842, 29684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59356 and 59368. The biggest common factor number is the GCF number.
So the greatest common factor 59356 and 59368 is 4.

Also check out the Least Common Multiple of 59356 and 59368