What is the Greatest Common Factor of 75465 and 75478?

Greatest common factor (GCF) of 75465 and 75478 is 13.

GCF(75465,75478) = 13

We will now calculate the prime factors of 75465 and 75478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75465 and 75478.

How to find the GCF of 75465 and 75478?

We will first find the prime factorization of 75465 and 75478. After we will calculate the factors of 75465 and 75478 and find the biggest common factor number .

Step-1: Prime Factorization of 75465

Prime factors of 75465 are 3, 5, 13, 43. Prime factorization of 75465 in exponential form is:

75465 = 3³ × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 75478

Prime factors of 75478 are 2, 13, 2903. Prime factorization of 75478 in exponential form is:

75478 = 2¹ × 13¹ × 2903¹

Step-3: Factors of 75465

List of positive integer factors of 75465 that divides 75465 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 43, 45, 65, 117, 129, 135, 195, 215, 351, 387, 559, 585, 645, 1161, 1677, 1755, 1935, 2795, 5031, 5805, 8385, 15093, 25155

Step-4: Factors of 75478

List of positive integer factors of 75478 that divides 75465 without a remainder.

1, 2, 13, 26, 2903, 5806, 37739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75465 and 75478. The biggest common factor number is the GCF number.
So the greatest common factor 75465 and 75478 is 13.

Also check out the Least Common Multiple of 75465 and 75478