What is the Greatest Common Factor of 80010 and 80015?

Greatest common factor (GCF) of 80010 and 80015 is 5.

GCF(80010,80015) = 5

We will now calculate the prime factors of 80010 and 80015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80010 and 80015.

How to find the GCF of 80010 and 80015?

We will first find the prime factorization of 80010 and 80015. After we will calculate the factors of 80010 and 80015 and find the biggest common factor number .

Step-1: Prime Factorization of 80010

Prime factors of 80010 are 2, 3, 5, 7, 127. Prime factorization of 80010 in exponential form is:

80010 = 2¹ × 3² × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 80015

Prime factors of 80015 are 5, 13, 1231. Prime factorization of 80015 in exponential form is:

80015 = 5¹ × 13¹ × 1231¹

Step-3: Factors of 80010

List of positive integer factors of 80010 that divides 80010 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 127, 210, 254, 315, 381, 630, 635, 762, 889, 1143, 1270, 1778, 1905, 2286, 2667, 3810, 4445, 5334, 5715, 8001, 8890, 11430, 13335, 16002, 26670, 40005

Step-4: Factors of 80015

List of positive integer factors of 80015 that divides 80010 without a remainder.

1, 5, 13, 65, 1231, 6155, 16003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80010 and 80015. The biggest common factor number is the GCF number.
So the greatest common factor 80010 and 80015 is 5.

Also check out the Least Common Multiple of 80010 and 80015