What is the Greatest Common Factor of 58446 and 58458?

Greatest common factor (GCF) of 58446 and 58458 is 6.

GCF(58446,58458) = 6

We will now calculate the prime factors of 58446 and 58458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58446 and 58458.

How to find the GCF of 58446 and 58458?

We will first find the prime factorization of 58446 and 58458. After we will calculate the factors of 58446 and 58458 and find the biggest common factor number .

Step-1: Prime Factorization of 58446

Prime factors of 58446 are 2, 3, 17, 191. Prime factorization of 58446 in exponential form is:

58446 = 2¹ × 3² × 17¹ × 191¹

Step-2: Prime Factorization of 58458

Prime factors of 58458 are 2, 3, 9743. Prime factorization of 58458 in exponential form is:

58458 = 2¹ × 3¹ × 9743¹

Step-3: Factors of 58446

List of positive integer factors of 58446 that divides 58446 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 191, 306, 382, 573, 1146, 1719, 3247, 3438, 6494, 9741, 19482, 29223

Step-4: Factors of 58458

List of positive integer factors of 58458 that divides 58446 without a remainder.

1, 2, 3, 6, 9743, 19486, 29229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58446 and 58458. The biggest common factor number is the GCF number.
So the greatest common factor 58446 and 58458 is 6.

Also check out the Least Common Multiple of 58446 and 58458