What is the Greatest Common Factor of 40972 and 40984?

Greatest common factor (GCF) of 40972 and 40984 is 4.

GCF(40972,40984) = 4

We will now calculate the prime factors of 40972 and 40984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40972 and 40984.

How to find the GCF of 40972 and 40984?

We will first find the prime factorization of 40972 and 40984. After we will calculate the factors of 40972 and 40984 and find the biggest common factor number .

Step-1: Prime Factorization of 40972

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

40972 = 2² × 10243¹

Step-2: Prime Factorization of 40984

Prime factors of 40984 are 2, 47, 109. Prime factorization of 40984 in exponential form is:

40984 = 2³ × 47¹ × 109¹

Step-3: Factors of 40972

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

1, 2, 4, 10243, 20486

Step-4: Factors of 40984

List of positive integer factors of 40984 that divides 40972 without a remainder.

1, 2, 4, 8, 47, 94, 109, 188, 218, 376, 436, 872, 5123, 10246, 20492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40972 and 40984. The biggest common factor number is the GCF number.
So the greatest common factor 40972 and 40984 is 4.

Also check out the Least Common Multiple of 40972 and 40984