What is the Greatest Common Factor of 40915 and 40922?

Greatest common factor (GCF) of 40915 and 40922 is 7.

GCF(40915,40922) = 7

We will now calculate the prime factors of 40915 and 40922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40915 and 40922.

How to find the GCF of 40915 and 40922?

We will first find the prime factorization of 40915 and 40922. After we will calculate the factors of 40915 and 40922 and find the biggest common factor number .

Step-1: Prime Factorization of 40915

Prime factors of 40915 are 5, 7, 167. Prime factorization of 40915 in exponential form is:

40915 = 5¹ × 7² × 167¹

Step-2: Prime Factorization of 40922

Prime factors of 40922 are 2, 7, 37, 79. Prime factorization of 40922 in exponential form is:

40922 = 2¹ × 7¹ × 37¹ × 79¹

Step-3: Factors of 40915

List of positive integer factors of 40915 that divides 40915 without a remainder.

1, 5, 7, 35, 49, 167, 245, 835, 1169, 5845, 8183

Step-4: Factors of 40922

List of positive integer factors of 40922 that divides 40915 without a remainder.

1, 2, 7, 14, 37, 74, 79, 158, 259, 518, 553, 1106, 2923, 5846, 20461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40915 and 40922. The biggest common factor number is the GCF number.
So the greatest common factor 40915 and 40922 is 7.

Also check out the Least Common Multiple of 40915 and 40922