What is the Greatest Common Factor of 41965 and 41976?

Greatest common factor (GCF) of 41965 and 41976 is 11.

GCF(41965,41976) = 11

We will now calculate the prime factors of 41965 and 41976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41965 and 41976.

How to find the GCF of 41965 and 41976?

We will first find the prime factorization of 41965 and 41976. After we will calculate the factors of 41965 and 41976 and find the biggest common factor number .

Step-1: Prime Factorization of 41965

Prime factors of 41965 are 5, 7, 11, 109. Prime factorization of 41965 in exponential form is:

41965 = 5¹ × 7¹ × 11¹ × 109¹

Step-2: 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-3: Factors of 41965

List of positive integer factors of 41965 that divides 41965 without a remainder.

1, 5, 7, 11, 35, 55, 77, 109, 385, 545, 763, 1199, 3815, 5995, 8393

Step-4: Factors of 41976

List of positive integer factors of 41976 that divides 41965 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41965 and 41976. The biggest common factor number is the GCF number.
So the greatest common factor 41965 and 41976 is 11.

Also check out the Least Common Multiple of 41965 and 41976