What is the Greatest Common Factor of 79900 and 79907?

Greatest common factor (GCF) of 79900 and 79907 is 1.

GCF(79900,79907) = 1

We will now calculate the prime factors of 79900 and 79907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79900 and 79907.

How to find the GCF of 79900 and 79907?

We will first find the prime factorization of 79900 and 79907. After we will calculate the factors of 79900 and 79907 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 79907

Prime factors of 79907 are 79907. Prime factorization of 79907 in exponential form is:

79907 = 79907¹

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 79907

List of positive integer factors of 79907 that divides 79900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79900 and 79907. The biggest common factor number is the GCF number.
So the greatest common factor 79900 and 79907 is 1.

Also check out the Least Common Multiple of 79900 and 79907