What is the Greatest Common Factor of 58416 and 58426?

Greatest common factor (GCF) of 58416 and 58426 is 2.

GCF(58416,58426) = 2

We will now calculate the prime factors of 58416 and 58426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58416 and 58426.

How to find the GCF of 58416 and 58426?

We will first find the prime factorization of 58416 and 58426. After we will calculate the factors of 58416 and 58426 and find the biggest common factor number .

Step-1: Prime Factorization of 58416

Prime factors of 58416 are 2, 3, 1217. Prime factorization of 58416 in exponential form is:

58416 = 2⁴ × 3¹ × 1217¹

Step-2: Prime Factorization of 58426

Prime factors of 58426 are 2, 131, 223. Prime factorization of 58426 in exponential form is:

58426 = 2¹ × 131¹ × 223¹

Step-3: Factors of 58416

List of positive integer factors of 58416 that divides 58416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1217, 2434, 3651, 4868, 7302, 9736, 14604, 19472, 29208

Step-4: Factors of 58426

List of positive integer factors of 58426 that divides 58416 without a remainder.

1, 2, 131, 223, 262, 446, 29213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58416 and 58426. The biggest common factor number is the GCF number.
So the greatest common factor 58416 and 58426 is 2.

Also check out the Least Common Multiple of 58416 and 58426