What is the Greatest Common Factor of 79919 and 79924?

Greatest common factor (GCF) of 79919 and 79924 is 1.

GCF(79919,79924) = 1

We will now calculate the prime factors of 79919 and 79924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79919 and 79924.

How to find the GCF of 79919 and 79924?

We will first find the prime factorization of 79919 and 79924. After we will calculate the factors of 79919 and 79924 and find the biggest common factor number .

Step-1: Prime Factorization of 79919

Prime factors of 79919 are 7, 233. Prime factorization of 79919 in exponential form is:

79919 = 7³ × 233¹

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 79919

List of positive integer factors of 79919 that divides 79919 without a remainder.

1, 7, 49, 233, 343, 1631, 11417

Step-4: Factors of 79924

List of positive integer factors of 79924 that divides 79919 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 79919 and 79924. The biggest common factor number is the GCF number.
So the greatest common factor 79919 and 79924 is 1.

Also check out the Least Common Multiple of 79919 and 79924