What is the Greatest Common Factor of 41976 and 41987?

Greatest common factor (GCF) of 41976 and 41987 is 11.

GCF(41976,41987) = 11

We will now calculate the prime factors of 41976 and 41987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41976 and 41987.

How to find the GCF of 41976 and 41987?

We will first find the prime factorization of 41976 and 41987. After we will calculate the factors of 41976 and 41987 and find the biggest common factor number .

Step-1: Prime Factorization of 41976

Prime factors of 41976 are 2, 3, 11, 53. Prime factorization of 41976 in exponential form is:

41976 = 2³ × 3² × 11¹ × 53¹

Step-2: Prime Factorization of 41987

Prime factors of 41987 are 11, 347. Prime factorization of 41987 in exponential form is:

41987 = 11² × 347¹

Step-3: Factors of 41976

List of positive integer factors of 41976 that divides 41976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 53, 66, 72, 88, 99, 106, 132, 159, 198, 212, 264, 318, 396, 424, 477, 583, 636, 792, 954, 1166, 1272, 1749, 1908, 2332, 3498, 3816, 4664, 5247, 6996, 10494, 13992, 20988

Step-4: Factors of 41987

List of positive integer factors of 41987 that divides 41976 without a remainder.

1, 11, 121, 347, 3817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41976 and 41987. The biggest common factor number is the GCF number.
So the greatest common factor 41976 and 41987 is 11.

Also check out the Least Common Multiple of 41976 and 41987