What is the Greatest Common Factor of 79738 and 79750?

Greatest common factor (GCF) of 79738 and 79750 is 2.

GCF(79738,79750) = 2

We will now calculate the prime factors of 79738 and 79750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79738 and 79750.

How to find the GCF of 79738 and 79750?

We will first find the prime factorization of 79738 and 79750. After we will calculate the factors of 79738 and 79750 and find the biggest common factor number .

Step-1: Prime Factorization of 79738

Prime factors of 79738 are 2, 39869. Prime factorization of 79738 in exponential form is:

79738 = 2¹ × 39869¹

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 79738

List of positive integer factors of 79738 that divides 79738 without a remainder.

1, 2, 39869

Step-4: Factors of 79750

List of positive integer factors of 79750 that divides 79738 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 79738 and 79750. The biggest common factor number is the GCF number.
So the greatest common factor 79738 and 79750 is 2.

Also check out the Least Common Multiple of 79738 and 79750