What is the Greatest Common Factor of 40950 and 40965?

Greatest common factor (GCF) of 40950 and 40965 is 15.

GCF(40950,40965) = 15

We will now calculate the prime factors of 40950 and 40965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40950 and 40965.

How to find the GCF of 40950 and 40965?

We will first find the prime factorization of 40950 and 40965. After we will calculate the factors of 40950 and 40965 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 40965

Prime factors of 40965 are 3, 5, 2731. Prime factorization of 40965 in exponential form is:

40965 = 3¹ × 5¹ × 2731¹

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 40965

List of positive integer factors of 40965 that divides 40950 without a remainder.

1, 3, 5, 15, 2731, 8193, 13655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40950 and 40965. The biggest common factor number is the GCF number.
So the greatest common factor 40950 and 40965 is 15.

Also check out the Least Common Multiple of 40950 and 40965