What is the Greatest Common Factor of 40926 and 40945?

Greatest common factor (GCF) of 40926 and 40945 is 19.

GCF(40926,40945) = 19

We will now calculate the prime factors of 40926 and 40945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40926 and 40945.

How to find the GCF of 40926 and 40945?

We will first find the prime factorization of 40926 and 40945. After we will calculate the factors of 40926 and 40945 and find the biggest common factor number .

Step-1: Prime Factorization of 40926

Prime factors of 40926 are 2, 3, 19, 359. Prime factorization of 40926 in exponential form is:

40926 = 2¹ × 3¹ × 19¹ × 359¹

Step-2: 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-3: Factors of 40926

List of positive integer factors of 40926 that divides 40926 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 359, 718, 1077, 2154, 6821, 13642, 20463

Step-4: Factors of 40945

List of positive integer factors of 40945 that divides 40926 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40926 and 40945. The biggest common factor number is the GCF number.
So the greatest common factor 40926 and 40945 is 19.

Also check out the Least Common Multiple of 40926 and 40945