What is the Greatest Common Factor of 40546 and 40565?

Greatest common factor (GCF) of 40546 and 40565 is 19.

GCF(40546,40565) = 19

We will now calculate the prime factors of 40546 and 40565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40546 and 40565.

How to find the GCF of 40546 and 40565?

We will first find the prime factorization of 40546 and 40565. After we will calculate the factors of 40546 and 40565 and find the biggest common factor number .

Step-1: Prime Factorization of 40546

Prime factors of 40546 are 2, 11, 19, 97. Prime factorization of 40546 in exponential form is:

40546 = 2¹ × 11¹ × 19¹ × 97¹

Step-2: Prime Factorization of 40565

Prime factors of 40565 are 5, 7, 19, 61. Prime factorization of 40565 in exponential form is:

40565 = 5¹ × 7¹ × 19¹ × 61¹

Step-3: Factors of 40546

List of positive integer factors of 40546 that divides 40546 without a remainder.

1, 2, 11, 19, 22, 38, 97, 194, 209, 418, 1067, 1843, 2134, 3686, 20273

Step-4: Factors of 40565

List of positive integer factors of 40565 that divides 40546 without a remainder.

1, 5, 7, 19, 35, 61, 95, 133, 305, 427, 665, 1159, 2135, 5795, 8113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40546 and 40565. The biggest common factor number is the GCF number.
So the greatest common factor 40546 and 40565 is 19.

Also check out the Least Common Multiple of 40546 and 40565