What is the Greatest Common Factor of 59411 and 59424?

Greatest common factor (GCF) of 59411 and 59424 is 1.

GCF(59411,59424) = 1

We will now calculate the prime factors of 59411 and 59424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59411 and 59424.

How to find the GCF of 59411 and 59424?

We will first find the prime factorization of 59411 and 59424. After we will calculate the factors of 59411 and 59424 and find the biggest common factor number .

Step-1: Prime Factorization of 59411

Prime factors of 59411 are 11, 491. Prime factorization of 59411 in exponential form is:

59411 = 11² × 491¹

Step-2: 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-3: Factors of 59411

List of positive integer factors of 59411 that divides 59411 without a remainder.

1, 11, 121, 491, 5401

Step-4: Factors of 59424

List of positive integer factors of 59424 that divides 59411 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59411 and 59424. The biggest common factor number is the GCF number.
So the greatest common factor 59411 and 59424 is 1.

Also check out the Least Common Multiple of 59411 and 59424