What is the Greatest Common Factor of 75417 and 75432?

Greatest common factor (GCF) of 75417 and 75432 is 3.

GCF(75417,75432) = 3

We will now calculate the prime factors of 75417 and 75432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75417 and 75432.

How to find the GCF of 75417 and 75432?

We will first find the prime factorization of 75417 and 75432. After we will calculate the factors of 75417 and 75432 and find the biggest common factor number .

Step-1: Prime Factorization of 75417

Prime factors of 75417 are 3, 23, 1093. Prime factorization of 75417 in exponential form is:

75417 = 3¹ × 23¹ × 1093¹

Step-2: Prime Factorization of 75432

Prime factors of 75432 are 2, 3, 7, 449. Prime factorization of 75432 in exponential form is:

75432 = 2³ × 3¹ × 7¹ × 449¹

Step-3: Factors of 75417

List of positive integer factors of 75417 that divides 75417 without a remainder.

1, 3, 23, 69, 1093, 3279, 25139

Step-4: Factors of 75432

List of positive integer factors of 75432 that divides 75417 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 449, 898, 1347, 1796, 2694, 3143, 3592, 5388, 6286, 9429, 10776, 12572, 18858, 25144, 37716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75417 and 75432. The biggest common factor number is the GCF number.
So the greatest common factor 75417 and 75432 is 3.

Also check out the Least Common Multiple of 75417 and 75432