What is the Greatest Common Factor of 80457 and 80463?

Greatest common factor (GCF) of 80457 and 80463 is 3.

GCF(80457,80463) = 3

We will now calculate the prime factors of 80457 and 80463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80457 and 80463.

How to find the GCF of 80457 and 80463?

We will first find the prime factorization of 80457 and 80463. After we will calculate the factors of 80457 and 80463 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 80463

Prime factors of 80463 are 3, 26821. Prime factorization of 80463 in exponential form is:

80463 = 3¹ × 26821¹

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 80463

List of positive integer factors of 80463 that divides 80457 without a remainder.

1, 3, 26821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80457 and 80463. The biggest common factor number is the GCF number.
So the greatest common factor 80457 and 80463 is 3.

Also check out the Least Common Multiple of 80457 and 80463