What is the Greatest Common Factor of 79750 and 79761?

Greatest common factor (GCF) of 79750 and 79761 is 11.

GCF(79750,79761) = 11

We will now calculate the prime factors of 79750 and 79761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79750 and 79761.

How to find the GCF of 79750 and 79761?

We will first find the prime factorization of 79750 and 79761. After we will calculate the factors of 79750 and 79761 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79761

Prime factors of 79761 are 3, 11, 2417. Prime factorization of 79761 in exponential form is:

79761 = 3¹ × 11¹ × 2417¹

Step-3: Factors of 79750

List of positive integer factors of 79750 that divides 79750 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

Step-4: Factors of 79761

List of positive integer factors of 79761 that divides 79750 without a remainder.

1, 3, 11, 33, 2417, 7251, 26587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79750 and 79761. The biggest common factor number is the GCF number.
So the greatest common factor 79750 and 79761 is 11.

Also check out the Least Common Multiple of 79750 and 79761