What is the Greatest Common Factor of 40968 and 40976?

Greatest common factor (GCF) of 40968 and 40976 is 8.

GCF(40968,40976) = 8

We will now calculate the prime factors of 40968 and 40976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40968 and 40976.

How to find the GCF of 40968 and 40976?

We will first find the prime factorization of 40968 and 40976. After we will calculate the factors of 40968 and 40976 and find the biggest common factor number .

Step-1: Prime Factorization of 40968

Prime factors of 40968 are 2, 3, 569. Prime factorization of 40968 in exponential form is:

40968 = 2³ × 3² × 569¹

Step-2: Prime Factorization of 40976

Prime factors of 40976 are 2, 13, 197. Prime factorization of 40976 in exponential form is:

40976 = 2⁴ × 13¹ × 197¹

Step-3: Factors of 40968

List of positive integer factors of 40968 that divides 40968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 10242, 13656, 20484

Step-4: Factors of 40976

List of positive integer factors of 40976 that divides 40968 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 197, 208, 394, 788, 1576, 2561, 3152, 5122, 10244, 20488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40968 and 40976. The biggest common factor number is the GCF number.
So the greatest common factor 40968 and 40976 is 8.

Also check out the Least Common Multiple of 40968 and 40976