What is the Greatest Common Factor of 59424 and 59431?

Greatest common factor (GCF) of 59424 and 59431 is 1.

GCF(59424,59431) = 1

We will now calculate the prime factors of 59424 and 59431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59424 and 59431.

How to find the GCF of 59424 and 59431?

We will first find the prime factorization of 59424 and 59431. After we will calculate the factors of 59424 and 59431 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 59431

Prime factors of 59431 are 103, 577. Prime factorization of 59431 in exponential form is:

59431 = 103¹ × 577¹

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 59431

List of positive integer factors of 59431 that divides 59424 without a remainder.

1, 103, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59424 and 59431. The biggest common factor number is the GCF number.
So the greatest common factor 59424 and 59431 is 1.

Also check out the Least Common Multiple of 59424 and 59431