What is the Greatest Common Factor of 40988 and 40996?

Greatest common factor (GCF) of 40988 and 40996 is 4.

GCF(40988,40996) = 4

We will now calculate the prime factors of 40988 and 40996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40988 and 40996.

How to find the GCF of 40988 and 40996?

We will first find the prime factorization of 40988 and 40996. After we will calculate the factors of 40988 and 40996 and find the biggest common factor number .

Step-1: Prime Factorization of 40988

Prime factors of 40988 are 2, 10247. Prime factorization of 40988 in exponential form is:

40988 = 2² × 10247¹

Step-2: Prime Factorization of 40996

Prime factors of 40996 are 2, 37, 277. Prime factorization of 40996 in exponential form is:

40996 = 2² × 37¹ × 277¹

Step-3: Factors of 40988

List of positive integer factors of 40988 that divides 40988 without a remainder.

1, 2, 4, 10247, 20494

Step-4: Factors of 40996

List of positive integer factors of 40996 that divides 40988 without a remainder.

1, 2, 4, 37, 74, 148, 277, 554, 1108, 10249, 20498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40988 and 40996. The biggest common factor number is the GCF number.
So the greatest common factor 40988 and 40996 is 4.

Also check out the Least Common Multiple of 40988 and 40996