What is the Greatest Common Factor of 80073 and 80079?

Greatest common factor (GCF) of 80073 and 80079 is 3.

GCF(80073,80079) = 3

We will now calculate the prime factors of 80073 and 80079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80073 and 80079.

How to find the GCF of 80073 and 80079?

We will first find the prime factorization of 80073 and 80079. After we will calculate the factors of 80073 and 80079 and find the biggest common factor number .

Step-1: Prime Factorization of 80073

Prime factors of 80073 are 3, 7, 31, 41. Prime factorization of 80073 in exponential form is:

80073 = 3² × 7¹ × 31¹ × 41¹

Step-2: Prime Factorization of 80079

Prime factors of 80079 are 3, 26693. Prime factorization of 80079 in exponential form is:

80079 = 3¹ × 26693¹

Step-3: Factors of 80073

List of positive integer factors of 80073 that divides 80073 without a remainder.

1, 3, 7, 9, 21, 31, 41, 63, 93, 123, 217, 279, 287, 369, 651, 861, 1271, 1953, 2583, 3813, 8897, 11439, 26691

Step-4: Factors of 80079

List of positive integer factors of 80079 that divides 80073 without a remainder.

1, 3, 26693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80073 and 80079. The biggest common factor number is the GCF number.
So the greatest common factor 80073 and 80079 is 3.

Also check out the Least Common Multiple of 80073 and 80079