What is the Greatest Common Factor of 75427 and 75432?

Greatest common factor (GCF) of 75427 and 75432 is 1.

GCF(75427,75432) = 1

We will now calculate the prime factors of 75427 and 75432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75427 and 75432.

How to find the GCF of 75427 and 75432?

We will first find the prime factorization of 75427 and 75432. After we will calculate the factors of 75427 and 75432 and find the biggest common factor number .

Step-1: Prime Factorization of 75427

Prime factors of 75427 are 11, 6857. Prime factorization of 75427 in exponential form is:

75427 = 11¹ × 6857¹

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 75427

List of positive integer factors of 75427 that divides 75427 without a remainder.

1, 11, 6857

Step-4: Factors of 75432

List of positive integer factors of 75432 that divides 75427 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 75427 and 75432. The biggest common factor number is the GCF number.
So the greatest common factor 75427 and 75432 is 1.

Also check out the Least Common Multiple of 75427 and 75432