What is the Greatest Common Factor of 80457 and 80475?

Greatest common factor (GCF) of 80457 and 80475 is 3.

GCF(80457,80475) = 3

We will now calculate the prime factors of 80457 and 80475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80457 and 80475.

How to find the GCF of 80457 and 80475?

We will first find the prime factorization of 80457 and 80475. After we will calculate the factors of 80457 and 80475 and find the biggest common factor number .

Step-1: Prime Factorization of 80457

Prime factors of 80457 are 3, 13, 2063. Prime factorization of 80457 in exponential form is:

80457 = 3¹ × 13¹ × 2063¹

Step-2: Prime Factorization of 80475

Prime factors of 80475 are 3, 5, 29, 37. Prime factorization of 80475 in exponential form is:

80475 = 3¹ × 5² × 29¹ × 37¹

Step-3: Factors of 80457

List of positive integer factors of 80457 that divides 80457 without a remainder.

1, 3, 13, 39, 2063, 6189, 26819

Step-4: Factors of 80475

List of positive integer factors of 80475 that divides 80457 without a remainder.

1, 3, 5, 15, 25, 29, 37, 75, 87, 111, 145, 185, 435, 555, 725, 925, 1073, 2175, 2775, 3219, 5365, 16095, 26825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80457 and 80475. The biggest common factor number is the GCF number.
So the greatest common factor 80457 and 80475 is 3.

Also check out the Least Common Multiple of 80457 and 80475