What is the Greatest Common Factor of 40950 and 40962?

Greatest common factor (GCF) of 40950 and 40962 is 6.

GCF(40950,40962) = 6

We will now calculate the prime factors of 40950 and 40962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40950 and 40962.

How to find the GCF of 40950 and 40962?

We will first find the prime factorization of 40950 and 40962. After we will calculate the factors of 40950 and 40962 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 40962

Prime factors of 40962 are 2, 3, 6827. Prime factorization of 40962 in exponential form is:

40962 = 2¹ × 3¹ × 6827¹

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 40962

List of positive integer factors of 40962 that divides 40950 without a remainder.

1, 2, 3, 6, 6827, 13654, 20481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40950 and 40962. The biggest common factor number is the GCF number.
So the greatest common factor 40950 and 40962 is 6.

Also check out the Least Common Multiple of 40950 and 40962