What is the Greatest Common Factor of 80272 and 80282?

Greatest common factor (GCF) of 80272 and 80282 is 2.

GCF(80272,80282) = 2

We will now calculate the prime factors of 80272 and 80282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80272 and 80282.

How to find the GCF of 80272 and 80282?

We will first find the prime factorization of 80272 and 80282. After we will calculate the factors of 80272 and 80282 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 80282

Prime factors of 80282 are 2, 137, 293. Prime factorization of 80282 in exponential form is:

80282 = 2¹ × 137¹ × 293¹

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 80282

List of positive integer factors of 80282 that divides 80272 without a remainder.

1, 2, 137, 274, 293, 586, 40141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80272 and 80282. The biggest common factor number is the GCF number.
So the greatest common factor 80272 and 80282 is 2.

Also check out the Least Common Multiple of 80272 and 80282