What is the Greatest Common Factor of 80282 and 80295?

Greatest common factor (GCF) of 80282 and 80295 is 1.

GCF(80282,80295) = 1

We will now calculate the prime factors of 80282 and 80295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80282 and 80295.

How to find the GCF of 80282 and 80295?

We will first find the prime factorization of 80282 and 80295. After we will calculate the factors of 80282 and 80295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80295

Prime factors of 80295 are 3, 5, 53, 101. Prime factorization of 80295 in exponential form is:

80295 = 3¹ × 5¹ × 53¹ × 101¹

Step-3: Factors of 80282

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

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

Step-4: Factors of 80295

List of positive integer factors of 80295 that divides 80282 without a remainder.

1, 3, 5, 15, 53, 101, 159, 265, 303, 505, 795, 1515, 5353, 16059, 26765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80282 and 80295. The biggest common factor number is the GCF number.
So the greatest common factor 80282 and 80295 is 1.

Also check out the Least Common Multiple of 80282 and 80295