What is the Greatest Common Factor of 79750 and 79769?

Greatest common factor (GCF) of 79750 and 79769 is 1.

GCF(79750,79769) = 1

We will now calculate the prime factors of 79750 and 79769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79750 and 79769.

How to find the GCF of 79750 and 79769?

We will first find the prime factorization of 79750 and 79769. After we will calculate the factors of 79750 and 79769 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 79769

Prime factors of 79769 are 79769. Prime factorization of 79769 in exponential form is:

79769 = 79769¹

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 79769

List of positive integer factors of 79769 that divides 79750 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79750 and 79769. The biggest common factor number is the GCF number.
So the greatest common factor 79750 and 79769 is 1.

Also check out the Least Common Multiple of 79750 and 79769