What is the Greatest Common Factor of 79745 and 79750?

Greatest common factor (GCF) of 79745 and 79750 is 5.

GCF(79745,79750) = 5

We will now calculate the prime factors of 79745 and 79750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79745 and 79750.

How to find the GCF of 79745 and 79750?

We will first find the prime factorization of 79745 and 79750. After we will calculate the factors of 79745 and 79750 and find the biggest common factor number .

Step-1: Prime Factorization of 79745

Prime factors of 79745 are 5, 41, 389. Prime factorization of 79745 in exponential form is:

79745 = 5¹ × 41¹ × 389¹

Step-2: Prime Factorization of 79750

Prime factors of 79750 are 2, 5, 11, 29. Prime factorization of 79750 in exponential form is:

79750 = 2¹ × 5³ × 11¹ × 29¹

Step-3: Factors of 79745

List of positive integer factors of 79745 that divides 79745 without a remainder.

1, 5, 41, 205, 389, 1945, 15949

Step-4: Factors of 79750

List of positive integer factors of 79750 that divides 79745 without a remainder.

1, 2, 5, 10, 11, 22, 25, 29, 50, 55, 58, 110, 125, 145, 250, 275, 290, 319, 550, 638, 725, 1375, 1450, 1595, 2750, 3190, 3625, 7250, 7975, 15950, 39875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79745 and 79750. The biggest common factor number is the GCF number.
So the greatest common factor 79745 and 79750 is 5.

Also check out the Least Common Multiple of 79745 and 79750