What is the Greatest Common Factor of 79909 and 79924?

Greatest common factor (GCF) of 79909 and 79924 is 1.

GCF(79909,79924) = 1

We will now calculate the prime factors of 79909 and 79924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79909 and 79924.

How to find the GCF of 79909 and 79924?

We will first find the prime factorization of 79909 and 79924. After we will calculate the factors of 79909 and 79924 and find the biggest common factor number .

Step-1: Prime Factorization of 79909

Prime factors of 79909 are 41, 1949. Prime factorization of 79909 in exponential form is:

79909 = 41¹ × 1949¹

Step-2: Prime Factorization of 79924

Prime factors of 79924 are 2, 13, 29, 53. Prime factorization of 79924 in exponential form is:

79924 = 2² × 13¹ × 29¹ × 53¹

Step-3: Factors of 79909

List of positive integer factors of 79909 that divides 79909 without a remainder.

1, 41, 1949

Step-4: Factors of 79924

List of positive integer factors of 79924 that divides 79909 without a remainder.

1, 2, 4, 13, 26, 29, 52, 53, 58, 106, 116, 212, 377, 689, 754, 1378, 1508, 1537, 2756, 3074, 6148, 19981, 39962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79909 and 79924. The biggest common factor number is the GCF number.
So the greatest common factor 79909 and 79924 is 1.

Also check out the Least Common Multiple of 79909 and 79924