What is the Greatest Common Factor of 59424 and 59439?

Greatest common factor (GCF) of 59424 and 59439 is 3.

GCF(59424,59439) = 3

We will now calculate the prime factors of 59424 and 59439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59439.

How to find the GCF of 59424 and 59439?

We will first find the prime factorization of 59424 and 59439. After we will calculate the factors of 59424 and 59439 and find the biggest common factor number .

Step-1: Prime Factorization of 59424

Prime factors of 59424 are 2, 3, 619. Prime factorization of 59424 in exponential form is:

59424 = 2⁵ × 3¹ × 619¹

Step-2: Prime Factorization of 59439

Prime factors of 59439 are 3, 19813. Prime factorization of 59439 in exponential form is:

59439 = 3¹ × 19813¹

Step-3: Factors of 59424

List of positive integer factors of 59424 that divides 59424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 619, 1238, 1857, 2476, 3714, 4952, 7428, 9904, 14856, 19808, 29712

Step-4: Factors of 59439

List of positive integer factors of 59439 that divides 59424 without a remainder.

1, 3, 19813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59439. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59439 is 3.

Also check out the Least Common Multiple of 59424 and 59439