What is the Greatest Common Factor of 80278 and 80282?

Greatest common factor (GCF) of 80278 and 80282 is 2.

GCF(80278,80282) = 2

We will now calculate the prime factors of 80278 and 80282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80278 and 80282.

How to find the GCF of 80278 and 80282?

We will first find the prime factorization of 80278 and 80282. After we will calculate the factors of 80278 and 80282 and find the biggest common factor number .

Step-1: Prime Factorization of 80278

Prime factors of 80278 are 2, 11, 41, 89. Prime factorization of 80278 in exponential form is:

80278 = 2¹ × 11¹ × 41¹ × 89¹

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 80278

List of positive integer factors of 80278 that divides 80278 without a remainder.

1, 2, 11, 22, 41, 82, 89, 178, 451, 902, 979, 1958, 3649, 7298, 40139

Step-4: Factors of 80282

List of positive integer factors of 80282 that divides 80278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80278 and 80282. The biggest common factor number is the GCF number.
So the greatest common factor 80278 and 80282 is 2.

Also check out the Least Common Multiple of 80278 and 80282