What is the Greatest Common Factor of 80280 and 80295?

Greatest common factor (GCF) of 80280 and 80295 is 15.

GCF(80280,80295) = 15

We will now calculate the prime factors of 80280 and 80295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80280 and 80295.

How to find the GCF of 80280 and 80295?

We will first find the prime factorization of 80280 and 80295. After we will calculate the factors of 80280 and 80295 and find the biggest common factor number .

Step-1: Prime Factorization of 80280

Prime factors of 80280 are 2, 3, 5, 223. Prime factorization of 80280 in exponential form is:

80280 = 2³ × 3² × 5¹ × 223¹

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 80280

List of positive integer factors of 80280 that divides 80280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 223, 360, 446, 669, 892, 1115, 1338, 1784, 2007, 2230, 2676, 3345, 4014, 4460, 5352, 6690, 8028, 8920, 10035, 13380, 16056, 20070, 26760, 40140

Step-4: Factors of 80295

List of positive integer factors of 80295 that divides 80280 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 80280 and 80295. The biggest common factor number is the GCF number.
So the greatest common factor 80280 and 80295 is 15.

Also check out the Least Common Multiple of 80280 and 80295