What is the Greatest Common Factor of 80272 and 80292?

Greatest common factor (GCF) of 80272 and 80292 is 4.

GCF(80272,80292) = 4

We will now calculate the prime factors of 80272 and 80292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80272 and 80292.

How to find the GCF of 80272 and 80292?

We will first find the prime factorization of 80272 and 80292. After we will calculate the factors of 80272 and 80292 and find the biggest common factor number .

Step-1: Prime Factorization of 80272

Prime factors of 80272 are 2, 29, 173. Prime factorization of 80272 in exponential form is:

80272 = 2⁴ × 29¹ × 173¹

Step-2: Prime Factorization of 80292

Prime factors of 80292 are 2, 3, 6691. Prime factorization of 80292 in exponential form is:

80292 = 2² × 3¹ × 6691¹

Step-3: Factors of 80272

List of positive integer factors of 80272 that divides 80272 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 173, 232, 346, 464, 692, 1384, 2768, 5017, 10034, 20068, 40136

Step-4: Factors of 80292

List of positive integer factors of 80292 that divides 80272 without a remainder.

1, 2, 3, 4, 6, 12, 6691, 13382, 20073, 26764, 40146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80272 and 80292. The biggest common factor number is the GCF number.
So the greatest common factor 80272 and 80292 is 4.

Also check out the Least Common Multiple of 80272 and 80292