What is the Greatest Common Factor of 59409 and 59416?

Greatest common factor (GCF) of 59409 and 59416 is 7.

GCF(59409,59416) = 7

We will now calculate the prime factors of 59409 and 59416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59409 and 59416.

How to find the GCF of 59409 and 59416?

We will first find the prime factorization of 59409 and 59416. After we will calculate the factors of 59409 and 59416 and find the biggest common factor number .

Step-1: Prime Factorization of 59409

Prime factors of 59409 are 3, 7, 23, 41. Prime factorization of 59409 in exponential form is:

59409 = 3² × 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 59416

Prime factors of 59416 are 2, 7, 1061. Prime factorization of 59416 in exponential form is:

59416 = 2³ × 7¹ × 1061¹

Step-3: Factors of 59409

List of positive integer factors of 59409 that divides 59409 without a remainder.

1, 3, 7, 9, 21, 23, 41, 63, 69, 123, 161, 207, 287, 369, 483, 861, 943, 1449, 2583, 2829, 6601, 8487, 19803

Step-4: Factors of 59416

List of positive integer factors of 59416 that divides 59409 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1061, 2122, 4244, 7427, 8488, 14854, 29708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59409 and 59416. The biggest common factor number is the GCF number.
So the greatest common factor 59409 and 59416 is 7.

Also check out the Least Common Multiple of 59409 and 59416