What is the Greatest Common Factor of 71775 and 71786?

Greatest common factor (GCF) of 71775 and 71786 is 11.

GCF(71775,71786) = 11

We will now calculate the prime factors of 71775 and 71786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71775 and 71786.

How to find the GCF of 71775 and 71786?

We will first find the prime factorization of 71775 and 71786. After we will calculate the factors of 71775 and 71786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71786

Prime factors of 71786 are 2, 11, 13, 251. Prime factorization of 71786 in exponential form is:

71786 = 2¹ × 11¹ × 13¹ × 251¹

Step-3: Factors of 71775

List of positive integer factors of 71775 that divides 71775 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

Step-4: Factors of 71786

List of positive integer factors of 71786 that divides 71775 without a remainder.

1, 2, 11, 13, 22, 26, 143, 251, 286, 502, 2761, 3263, 5522, 6526, 35893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71775 and 71786. The biggest common factor number is the GCF number.
So the greatest common factor 71775 and 71786 is 11.

Also check out the Least Common Multiple of 71775 and 71786