What is the Greatest Common Factor of 58429 and 58446?

Greatest common factor (GCF) of 58429 and 58446 is 17.

GCF(58429,58446) = 17

We will now calculate the prime factors of 58429 and 58446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58429 and 58446.

How to find the GCF of 58429 and 58446?

We will first find the prime factorization of 58429 and 58446. After we will calculate the factors of 58429 and 58446 and find the biggest common factor number .

Step-1: Prime Factorization of 58429

Prime factors of 58429 are 7, 17, 491. Prime factorization of 58429 in exponential form is:

58429 = 7¹ × 17¹ × 491¹

Step-2: 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-3: Factors of 58429

List of positive integer factors of 58429 that divides 58429 without a remainder.

1, 7, 17, 119, 491, 3437, 8347

Step-4: Factors of 58446

List of positive integer factors of 58446 that divides 58429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58429 and 58446. The biggest common factor number is the GCF number.
So the greatest common factor 58429 and 58446 is 17.

Also check out the Least Common Multiple of 58429 and 58446