What is the Greatest Common Factor of 40950 and 40961?

Greatest common factor (GCF) of 40950 and 40961 is 1.

GCF(40950,40961) = 1

We will now calculate the prime factors of 40950 and 40961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40950 and 40961.

How to find the GCF of 40950 and 40961?

We will first find the prime factorization of 40950 and 40961. After we will calculate the factors of 40950 and 40961 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 40961

Prime factors of 40961 are 40961. Prime factorization of 40961 in exponential form is:

40961 = 40961¹

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 40961

List of positive integer factors of 40961 that divides 40950 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40950 and 40961. The biggest common factor number is the GCF number.
So the greatest common factor 40950 and 40961 is 1.

Also check out the Least Common Multiple of 40950 and 40961