What is the Greatest Common Factor of 78474 and 78491?

Greatest common factor (GCF) of 78474 and 78491 is 1.

GCF(78474,78491) = 1

We will now calculate the prime factors of 78474 and 78491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78474 and 78491.

How to find the GCF of 78474 and 78491?

We will first find the prime factorization of 78474 and 78491. After we will calculate the factors of 78474 and 78491 and find the biggest common factor number .

Step-1: Prime Factorization of 78474

Prime factors of 78474 are 2, 3, 11, 29, 41. Prime factorization of 78474 in exponential form is:

78474 = 2¹ × 3¹ × 11¹ × 29¹ × 41¹

Step-2: Prime Factorization of 78491

Prime factors of 78491 are 7, 11213. Prime factorization of 78491 in exponential form is:

78491 = 7¹ × 11213¹

Step-3: Factors of 78474

List of positive integer factors of 78474 that divides 78474 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 41, 58, 66, 82, 87, 123, 174, 246, 319, 451, 638, 902, 957, 1189, 1353, 1914, 2378, 2706, 3567, 7134, 13079, 26158, 39237

Step-4: Factors of 78491

List of positive integer factors of 78491 that divides 78474 without a remainder.

1, 7, 11213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78474 and 78491. The biggest common factor number is the GCF number.
So the greatest common factor 78474 and 78491 is 1.

Also check out the Least Common Multiple of 78474 and 78491