What is the Greatest Common Factor of 40950 and 40963?

Greatest common factor (GCF) of 40950 and 40963 is 13.

GCF(40950,40963) = 13

We will now calculate the prime factors of 40950 and 40963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40950 and 40963.

How to find the GCF of 40950 and 40963?

We will first find the prime factorization of 40950 and 40963. After we will calculate the factors of 40950 and 40963 and find the biggest common factor number .

Step-1: Prime Factorization of 40950

Prime factors of 40950 are 2, 3, 5, 7, 13. Prime factorization of 40950 in exponential form is:

40950 = 2¹ × 3² × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 40963

Prime factors of 40963 are 13, 23, 137. Prime factorization of 40963 in exponential form is:

40963 = 13¹ × 23¹ × 137¹

Step-3: Factors of 40950

List of positive integer factors of 40950 that divides 40950 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 25, 26, 30, 35, 39, 42, 45, 50, 63, 65, 70, 75, 78, 90, 91, 105, 117, 126, 130, 150, 175, 182, 195, 210, 225, 234, 273, 315, 325, 350, 390, 450, 455, 525, 546, 585, 630, 650, 819, 910, 975, 1050, 1170, 1365, 1575, 1638, 1950, 2275, 2730, 2925, 3150, 4095, 4550, 5850, 6825, 8190, 13650, 20475

Step-4: Factors of 40963

List of positive integer factors of 40963 that divides 40950 without a remainder.

1, 13, 23, 137, 299, 1781, 3151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40950 and 40963. The biggest common factor number is the GCF number.
So the greatest common factor 40950 and 40963 is 13.

Also check out the Least Common Multiple of 40950 and 40963