What is the Greatest Common Factor of 59424 and 59440?

Greatest common factor (GCF) of 59424 and 59440 is 16.

GCF(59424,59440) = 16

We will now calculate the prime factors of 59424 and 59440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59440.

How to find the GCF of 59424 and 59440?

We will first find the prime factorization of 59424 and 59440. After we will calculate the factors of 59424 and 59440 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 59440

Prime factors of 59440 are 2, 5, 743. Prime factorization of 59440 in exponential form is:

59440 = 2⁴ × 5¹ × 743¹

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 59440

List of positive integer factors of 59440 that divides 59424 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430, 11888, 14860, 29720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59440. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59440 is 16.

Also check out the Least Common Multiple of 59424 and 59440