What is the Greatest Common Factor of 40945 and 40950?

Greatest common factor (GCF) of 40945 and 40950 is 5.

GCF(40945,40950) = 5

We will now calculate the prime factors of 40945 and 40950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40945 and 40950.

How to find the GCF of 40945 and 40950?

We will first find the prime factorization of 40945 and 40950. After we will calculate the factors of 40945 and 40950 and find the biggest common factor number .

Step-1: Prime Factorization of 40945

Prime factors of 40945 are 5, 19, 431. Prime factorization of 40945 in exponential form is:

40945 = 5¹ × 19¹ × 431¹

Step-2: 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-3: Factors of 40945

List of positive integer factors of 40945 that divides 40945 without a remainder.

1, 5, 19, 95, 431, 2155, 8189

Step-4: Factors of 40950

List of positive integer factors of 40950 that divides 40945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40945 and 40950. The biggest common factor number is the GCF number.
So the greatest common factor 40945 and 40950 is 5.

Also check out the Least Common Multiple of 40945 and 40950