What is the Greatest Common Factor of 40919 and 40936?

Greatest common factor (GCF) of 40919 and 40936 is 17.

GCF(40919,40936) = 17

We will now calculate the prime factors of 40919 and 40936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40919 and 40936.

How to find the GCF of 40919 and 40936?

We will first find the prime factorization of 40919 and 40936. After we will calculate the factors of 40919 and 40936 and find the biggest common factor number .

Step-1: Prime Factorization of 40919

Prime factors of 40919 are 17, 29, 83. Prime factorization of 40919 in exponential form is:

40919 = 17¹ × 29¹ × 83¹

Step-2: Prime Factorization of 40936

Prime factors of 40936 are 2, 7, 17, 43. Prime factorization of 40936 in exponential form is:

40936 = 2³ × 7¹ × 17¹ × 43¹

Step-3: Factors of 40919

List of positive integer factors of 40919 that divides 40919 without a remainder.

1, 17, 29, 83, 493, 1411, 2407

Step-4: Factors of 40936

List of positive integer factors of 40936 that divides 40919 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 43, 56, 68, 86, 119, 136, 172, 238, 301, 344, 476, 602, 731, 952, 1204, 1462, 2408, 2924, 5117, 5848, 10234, 20468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40919 and 40936. The biggest common factor number is the GCF number.
So the greatest common factor 40919 and 40936 is 17.

Also check out the Least Common Multiple of 40919 and 40936