What is the Greatest Common Factor of 75432 and 75451?

Greatest common factor (GCF) of 75432 and 75451 is 1.

GCF(75432,75451) = 1

We will now calculate the prime factors of 75432 and 75451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75432 and 75451.

How to find the GCF of 75432 and 75451?

We will first find the prime factorization of 75432 and 75451. After we will calculate the factors of 75432 and 75451 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75451

Prime factors of 75451 are 197, 383. Prime factorization of 75451 in exponential form is:

75451 = 197¹ × 383¹

Step-3: Factors of 75432

List of positive integer factors of 75432 that divides 75432 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

Step-4: Factors of 75451

List of positive integer factors of 75451 that divides 75432 without a remainder.

1, 197, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75432 and 75451. The biggest common factor number is the GCF number.
So the greatest common factor 75432 and 75451 is 1.

Also check out the Least Common Multiple of 75432 and 75451