What is the Greatest Common Factor of 73997 and 74008?

Greatest common factor (GCF) of 73997 and 74008 is 11.

GCF(73997,74008) = 11

We will now calculate the prime factors of 73997 and 74008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73997 and 74008.

How to find the GCF of 73997 and 74008?

We will first find the prime factorization of 73997 and 74008. After we will calculate the factors of 73997 and 74008 and find the biggest common factor number .

Step-1: Prime Factorization of 73997

Prime factors of 73997 are 7, 11, 31. Prime factorization of 73997 in exponential form is:

73997 = 7¹ × 11¹ × 31²

Step-2: Prime Factorization of 74008

Prime factors of 74008 are 2, 11, 29. Prime factorization of 74008 in exponential form is:

74008 = 2³ × 11¹ × 29²

Step-3: Factors of 73997

List of positive integer factors of 73997 that divides 73997 without a remainder.

1, 7, 11, 31, 77, 217, 341, 961, 2387, 6727, 10571

Step-4: Factors of 74008

List of positive integer factors of 74008 that divides 73997 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 841, 1276, 1682, 2552, 3364, 6728, 9251, 18502, 37004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73997 and 74008. The biggest common factor number is the GCF number.
So the greatest common factor 73997 and 74008 is 11.

Also check out the Least Common Multiple of 73997 and 74008