What is the Greatest Common Factor of 39566 and 39580?

Greatest common factor (GCF) of 39566 and 39580 is 2.

GCF(39566,39580) = 2

We will now calculate the prime factors of 39566 and 39580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39566 and 39580.

How to find the GCF of 39566 and 39580?

We will first find the prime factorization of 39566 and 39580. After we will calculate the factors of 39566 and 39580 and find the biggest common factor number .

Step-1: Prime Factorization of 39566

Prime factors of 39566 are 2, 73, 271. Prime factorization of 39566 in exponential form is:

39566 = 2¹ × 73¹ × 271¹

Step-2: Prime Factorization of 39580

Prime factors of 39580 are 2, 5, 1979. Prime factorization of 39580 in exponential form is:

39580 = 2² × 5¹ × 1979¹

Step-3: Factors of 39566

List of positive integer factors of 39566 that divides 39566 without a remainder.

1, 2, 73, 146, 271, 542, 19783

Step-4: Factors of 39580

List of positive integer factors of 39580 that divides 39566 without a remainder.

1, 2, 4, 5, 10, 20, 1979, 3958, 7916, 9895, 19790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39566 and 39580. The biggest common factor number is the GCF number.
So the greatest common factor 39566 and 39580 is 2.

Also check out the Least Common Multiple of 39566 and 39580