What is the Greatest Common Factor of 71759 and 71775?

Greatest common factor (GCF) of 71759 and 71775 is 1.

GCF(71759,71775) = 1

We will now calculate the prime factors of 71759 and 71775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71759 and 71775.

How to find the GCF of 71759 and 71775?

We will first find the prime factorization of 71759 and 71775. After we will calculate the factors of 71759 and 71775 and find the biggest common factor number .

Step-1: Prime Factorization of 71759

Prime factors of 71759 are 73, 983. Prime factorization of 71759 in exponential form is:

71759 = 73¹ × 983¹

Step-2: Prime Factorization of 71775

Prime factors of 71775 are 3, 5, 11, 29. Prime factorization of 71775 in exponential form is:

71775 = 3² × 5² × 11¹ × 29¹

Step-3: Factors of 71759

List of positive integer factors of 71759 that divides 71759 without a remainder.

1, 73, 983

Step-4: Factors of 71775

List of positive integer factors of 71775 that divides 71759 without a remainder.

1, 3, 5, 9, 11, 15, 25, 29, 33, 45, 55, 75, 87, 99, 145, 165, 225, 261, 275, 319, 435, 495, 725, 825, 957, 1305, 1595, 2175, 2475, 2871, 4785, 6525, 7975, 14355, 23925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71759 and 71775. The biggest common factor number is the GCF number.
So the greatest common factor 71759 and 71775 is 1.

Also check out the Least Common Multiple of 71759 and 71775