What is the Greatest Common Factor of 75446 and 75453?

Greatest common factor (GCF) of 75446 and 75453 is 7.

GCF(75446,75453) = 7

We will now calculate the prime factors of 75446 and 75453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75446 and 75453.

How to find the GCF of 75446 and 75453?

We will first find the prime factorization of 75446 and 75453. After we will calculate the factors of 75446 and 75453 and find the biggest common factor number .

Step-1: Prime Factorization of 75446

Prime factors of 75446 are 2, 7, 17, 317. Prime factorization of 75446 in exponential form is:

75446 = 2¹ × 7¹ × 17¹ × 317¹

Step-2: Prime Factorization of 75453

Prime factors of 75453 are 3, 7, 3593. Prime factorization of 75453 in exponential form is:

75453 = 3¹ × 7¹ × 3593¹

Step-3: Factors of 75446

List of positive integer factors of 75446 that divides 75446 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 317, 634, 2219, 4438, 5389, 10778, 37723

Step-4: Factors of 75453

List of positive integer factors of 75453 that divides 75446 without a remainder.

1, 3, 7, 21, 3593, 10779, 25151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75446 and 75453. The biggest common factor number is the GCF number.
So the greatest common factor 75446 and 75453 is 7.

Also check out the Least Common Multiple of 75446 and 75453