What is the Greatest Common Factor of 65571 and 65582?

Greatest common factor (GCF) of 65571 and 65582 is 11.

GCF(65571,65582) = 11

We will now calculate the prime factors of 65571 and 65582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65571 and 65582.

How to find the GCF of 65571 and 65582?

We will first find the prime factorization of 65571 and 65582. After we will calculate the factors of 65571 and 65582 and find the biggest common factor number .

Step-1: Prime Factorization of 65571

Prime factors of 65571 are 3, 11, 1987. Prime factorization of 65571 in exponential form is:

65571 = 3¹ × 11¹ × 1987¹

Step-2: Prime Factorization of 65582

Prime factors of 65582 are 2, 11, 271. Prime factorization of 65582 in exponential form is:

65582 = 2¹ × 11² × 271¹

Step-3: Factors of 65571

List of positive integer factors of 65571 that divides 65571 without a remainder.

1, 3, 11, 33, 1987, 5961, 21857

Step-4: Factors of 65582

List of positive integer factors of 65582 that divides 65571 without a remainder.

1, 2, 11, 22, 121, 242, 271, 542, 2981, 5962, 32791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65571 and 65582. The biggest common factor number is the GCF number.
So the greatest common factor 65571 and 65582 is 11.

Also check out the Least Common Multiple of 65571 and 65582