What is the Greatest Common Factor of 59424 and 59430?

Greatest common factor (GCF) of 59424 and 59430 is 6.

GCF(59424,59430) = 6

We will now calculate the prime factors of 59424 and 59430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59430.

How to find the GCF of 59424 and 59430?

We will first find the prime factorization of 59424 and 59430. After we will calculate the factors of 59424 and 59430 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 59430

Prime factors of 59430 are 2, 3, 5, 7, 283. Prime factorization of 59430 in exponential form is:

59430 = 2¹ × 3¹ × 5¹ × 7¹ × 283¹

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 59430

List of positive integer factors of 59430 that divides 59424 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 283, 566, 849, 1415, 1698, 1981, 2830, 3962, 4245, 5943, 8490, 9905, 11886, 19810, 29715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59430. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59430 is 6.

Also check out the Least Common Multiple of 59424 and 59430