What is the Greatest Common Factor of 59436 and 59454?

Greatest common factor (GCF) of 59436 and 59454 is 18.

GCF(59436,59454) = 18

We will now calculate the prime factors of 59436 and 59454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59436 and 59454.

How to find the GCF of 59436 and 59454?

We will first find the prime factorization of 59436 and 59454. After we will calculate the factors of 59436 and 59454 and find the biggest common factor number .

Step-1: Prime Factorization of 59436

Prime factors of 59436 are 2, 3, 13, 127. Prime factorization of 59436 in exponential form is:

59436 = 2² × 3² × 13¹ × 127¹

Step-2: Prime Factorization of 59454

Prime factors of 59454 are 2, 3, 367. Prime factorization of 59454 in exponential form is:

59454 = 2¹ × 3⁴ × 367¹

Step-3: Factors of 59436

List of positive integer factors of 59436 that divides 59436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 127, 156, 234, 254, 381, 468, 508, 762, 1143, 1524, 1651, 2286, 3302, 4572, 4953, 6604, 9906, 14859, 19812, 29718

Step-4: Factors of 59454

List of positive integer factors of 59454 that divides 59436 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 367, 734, 1101, 2202, 3303, 6606, 9909, 19818, 29727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59436 and 59454. The biggest common factor number is the GCF number.
So the greatest common factor 59436 and 59454 is 18.

Also check out the Least Common Multiple of 59436 and 59454