What is the Greatest Common Factor of 78465 and 78474?

Greatest common factor (GCF) of 78465 and 78474 is 3.

GCF(78465,78474) = 3

We will now calculate the prime factors of 78465 and 78474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78465 and 78474.

How to find the GCF of 78465 and 78474?

We will first find the prime factorization of 78465 and 78474. After we will calculate the factors of 78465 and 78474 and find the biggest common factor number .

Step-1: Prime Factorization of 78465

Prime factors of 78465 are 3, 5, 5231. Prime factorization of 78465 in exponential form is:

78465 = 3¹ × 5¹ × 5231¹

Step-2: 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-3: Factors of 78465

List of positive integer factors of 78465 that divides 78465 without a remainder.

1, 3, 5, 15, 5231, 15693, 26155

Step-4: Factors of 78474

List of positive integer factors of 78474 that divides 78465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78465 and 78474. The biggest common factor number is the GCF number.
So the greatest common factor 78465 and 78474 is 3.

Also check out the Least Common Multiple of 78465 and 78474