What is the Greatest Common Factor of 79996 and 80010?

Greatest common factor (GCF) of 79996 and 80010 is 14.

GCF(79996,80010) = 14

We will now calculate the prime factors of 79996 and 80010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79996 and 80010.

How to find the GCF of 79996 and 80010?

We will first find the prime factorization of 79996 and 80010. After we will calculate the factors of 79996 and 80010 and find the biggest common factor number .

Step-1: Prime Factorization of 79996

Prime factors of 79996 are 2, 7, 2857. Prime factorization of 79996 in exponential form is:

79996 = 2² × 7¹ × 2857¹

Step-2: 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-3: Factors of 79996

List of positive integer factors of 79996 that divides 79996 without a remainder.

1, 2, 4, 7, 14, 28, 2857, 5714, 11428, 19999, 39998

Step-4: Factors of 80010

List of positive integer factors of 80010 that divides 79996 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79996 and 80010. The biggest common factor number is the GCF number.
So the greatest common factor 79996 and 80010 is 14.

Also check out the Least Common Multiple of 79996 and 80010