What is the Greatest Common Factor of 59448 and 59454?

Greatest common factor (GCF) of 59448 and 59454 is 6.

GCF(59448,59454) = 6

We will now calculate the prime factors of 59448 and 59454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59448 and 59454.

How to find the GCF of 59448 and 59454?

We will first find the prime factorization of 59448 and 59454. After we will calculate the factors of 59448 and 59454 and find the biggest common factor number .

Step-1: Prime Factorization of 59448

Prime factors of 59448 are 2, 3, 2477. Prime factorization of 59448 in exponential form is:

59448 = 2³ × 3¹ × 2477¹

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 59448

List of positive integer factors of 59448 that divides 59448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2477, 4954, 7431, 9908, 14862, 19816, 29724

Step-4: Factors of 59454

List of positive integer factors of 59454 that divides 59448 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 59448 and 59454. The biggest common factor number is the GCF number.
So the greatest common factor 59448 and 59454 is 6.

Also check out the Least Common Multiple of 59448 and 59454