What is the Greatest Common Factor of 76029 and 76041?

Greatest common factor (GCF) of 76029 and 76041 is 3.

GCF(76029,76041) = 3

We will now calculate the prime factors of 76029 and 76041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76029 and 76041.

How to find the GCF of 76029 and 76041?

We will first find the prime factorization of 76029 and 76041. After we will calculate the factors of 76029 and 76041 and find the biggest common factor number .

Step-1: Prime Factorization of 76029

Prime factors of 76029 are 3, 25343. Prime factorization of 76029 in exponential form is:

76029 = 3¹ × 25343¹

Step-2: 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-3: Factors of 76029

List of positive integer factors of 76029 that divides 76029 without a remainder.

1, 3, 25343

Step-4: Factors of 76041

List of positive integer factors of 76041 that divides 76029 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76029 and 76041. The biggest common factor number is the GCF number.
So the greatest common factor 76029 and 76041 is 3.

Also check out the Least Common Multiple of 76029 and 76041