What is the Greatest Common Factor of 76041 and 76058?

Greatest common factor (GCF) of 76041 and 76058 is 17.

GCF(76041,76058) = 17

We will now calculate the prime factors of 76041 and 76058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76041 and 76058.

How to find the GCF of 76041 and 76058?

We will first find the prime factorization of 76041 and 76058. After we will calculate the factors of 76041 and 76058 and find the biggest common factor number .

Step-1: Prime Factorization of 76041

Prime factors of 76041 are 3, 7, 17, 71. Prime factorization of 76041 in exponential form is:

76041 = 3² × 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 76058

Prime factors of 76058 are 2, 17, 2237. Prime factorization of 76058 in exponential form is:

76058 = 2¹ × 17¹ × 2237¹

Step-3: Factors of 76041

List of positive integer factors of 76041 that divides 76041 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 71, 119, 153, 213, 357, 497, 639, 1071, 1207, 1491, 3621, 4473, 8449, 10863, 25347

Step-4: Factors of 76058

List of positive integer factors of 76058 that divides 76041 without a remainder.

1, 2, 17, 34, 2237, 4474, 38029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76041 and 76058. The biggest common factor number is the GCF number.
So the greatest common factor 76041 and 76058 is 17.

Also check out the Least Common Multiple of 76041 and 76058