What is the Greatest Common Factor of 40902 and 40919?

Greatest common factor (GCF) of 40902 and 40919 is 17.

GCF(40902,40919) = 17

We will now calculate the prime factors of 40902 and 40919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40902 and 40919.

How to find the GCF of 40902 and 40919?

We will first find the prime factorization of 40902 and 40919. After we will calculate the factors of 40902 and 40919 and find the biggest common factor number .

Step-1: Prime Factorization of 40902

Prime factors of 40902 are 2, 3, 17, 401. Prime factorization of 40902 in exponential form is:

40902 = 2¹ × 3¹ × 17¹ × 401¹

Step-2: 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-3: Factors of 40902

List of positive integer factors of 40902 that divides 40902 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 401, 802, 1203, 2406, 6817, 13634, 20451

Step-4: Factors of 40919

List of positive integer factors of 40919 that divides 40902 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40902 and 40919. The biggest common factor number is the GCF number.
So the greatest common factor 40902 and 40919 is 17.

Also check out the Least Common Multiple of 40902 and 40919