What is the Greatest Common Factor of 41559 and 41566?

Greatest common factor (GCF) of 41559 and 41566 is 7.

GCF(41559,41566) = 7

We will now calculate the prime factors of 41559 and 41566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41559 and 41566.

How to find the GCF of 41559 and 41566?

We will first find the prime factorization of 41559 and 41566. After we will calculate the factors of 41559 and 41566 and find the biggest common factor number .

Step-1: Prime Factorization of 41559

Prime factors of 41559 are 3, 7, 1979. Prime factorization of 41559 in exponential form is:

41559 = 3¹ × 7¹ × 1979¹

Step-2: Prime Factorization of 41566

Prime factors of 41566 are 2, 7, 2969. Prime factorization of 41566 in exponential form is:

41566 = 2¹ × 7¹ × 2969¹

Step-3: Factors of 41559

List of positive integer factors of 41559 that divides 41559 without a remainder.

1, 3, 7, 21, 1979, 5937, 13853

Step-4: Factors of 41566

List of positive integer factors of 41566 that divides 41559 without a remainder.

1, 2, 7, 14, 2969, 5938, 20783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41559 and 41566. The biggest common factor number is the GCF number.
So the greatest common factor 41559 and 41566 is 7.

Also check out the Least Common Multiple of 41559 and 41566