What is the Greatest Common Factor of 80010 and 80025?

Greatest common factor (GCF) of 80010 and 80025 is 15.

GCF(80010,80025) = 15

We will now calculate the prime factors of 80010 and 80025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80010 and 80025.

How to find the GCF of 80010 and 80025?

We will first find the prime factorization of 80010 and 80025. After we will calculate the factors of 80010 and 80025 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 80025

Prime factors of 80025 are 3, 5, 11, 97. Prime factorization of 80025 in exponential form is:

80025 = 3¹ × 5² × 11¹ × 97¹

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 80025

List of positive integer factors of 80025 that divides 80010 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067, 1455, 2425, 3201, 5335, 7275, 16005, 26675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80010 and 80025. The biggest common factor number is the GCF number.
So the greatest common factor 80010 and 80025 is 15.

Also check out the Least Common Multiple of 80010 and 80025