What is the Greatest Common Factor of 79900 and 79911?

Greatest common factor (GCF) of 79900 and 79911 is 1.

GCF(79900,79911) = 1

We will now calculate the prime factors of 79900 and 79911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79900 and 79911.

How to find the GCF of 79900 and 79911?

We will first find the prime factorization of 79900 and 79911. After we will calculate the factors of 79900 and 79911 and find the biggest common factor number .

Step-1: Prime Factorization of 79900

Prime factors of 79900 are 2, 5, 17, 47. Prime factorization of 79900 in exponential form is:

79900 = 2² × 5² × 17¹ × 47¹

Step-2: Prime Factorization of 79911

Prime factors of 79911 are 3, 13, 683. Prime factorization of 79911 in exponential form is:

79911 = 3² × 13¹ × 683¹

Step-3: Factors of 79900

List of positive integer factors of 79900 that divides 79900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 47, 50, 68, 85, 94, 100, 170, 188, 235, 340, 425, 470, 799, 850, 940, 1175, 1598, 1700, 2350, 3196, 3995, 4700, 7990, 15980, 19975, 39950

Step-4: Factors of 79911

List of positive integer factors of 79911 that divides 79900 without a remainder.

1, 3, 9, 13, 39, 117, 683, 2049, 6147, 8879, 26637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79900 and 79911. The biggest common factor number is the GCF number.
So the greatest common factor 79900 and 79911 is 1.

Also check out the Least Common Multiple of 79900 and 79911