What is the Greatest Common Factor of 80451 and 80466?

Greatest common factor (GCF) of 80451 and 80466 is 3.

GCF(80451,80466) = 3

We will now calculate the prime factors of 80451 and 80466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80451 and 80466.

How to find the GCF of 80451 and 80466?

We will first find the prime factorization of 80451 and 80466. After we will calculate the factors of 80451 and 80466 and find the biggest common factor number .

Step-1: Prime Factorization of 80451

Prime factors of 80451 are 3, 7, 1277. Prime factorization of 80451 in exponential form is:

80451 = 3² × 7¹ × 1277¹

Step-2: Prime Factorization of 80466

Prime factors of 80466 are 2, 3, 13411. Prime factorization of 80466 in exponential form is:

80466 = 2¹ × 3¹ × 13411¹

Step-3: Factors of 80451

List of positive integer factors of 80451 that divides 80451 without a remainder.

1, 3, 7, 9, 21, 63, 1277, 3831, 8939, 11493, 26817

Step-4: Factors of 80466

List of positive integer factors of 80466 that divides 80451 without a remainder.

1, 2, 3, 6, 13411, 26822, 40233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80451 and 80466. The biggest common factor number is the GCF number.
So the greatest common factor 80451 and 80466 is 3.

Also check out the Least Common Multiple of 80451 and 80466