What is the Greatest Common Factor of 40968 and 40972?

Greatest common factor (GCF) of 40968 and 40972 is 4.

GCF(40968,40972) = 4

We will now calculate the prime factors of 40968 and 40972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40968 and 40972.

How to find the GCF of 40968 and 40972?

We will first find the prime factorization of 40968 and 40972. After we will calculate the factors of 40968 and 40972 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 40972

Prime factors of 40972 are 2, 10243. Prime factorization of 40972 in exponential form is:

40972 = 2² × 10243¹

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 40972

List of positive integer factors of 40972 that divides 40968 without a remainder.

1, 2, 4, 10243, 20486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40968 and 40972. The biggest common factor number is the GCF number.
So the greatest common factor 40968 and 40972 is 4.

Also check out the Least Common Multiple of 40968 and 40972