What is the Greatest Common Factor of 73983 and 73997?

Greatest common factor (GCF) of 73983 and 73997 is 7.

GCF(73983,73997) = 7

We will now calculate the prime factors of 73983 and 73997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73983 and 73997.

How to find the GCF of 73983 and 73997?

We will first find the prime factorization of 73983 and 73997. After we will calculate the factors of 73983 and 73997 and find the biggest common factor number .

Step-1: Prime Factorization of 73983

Prime factors of 73983 are 3, 7, 13, 271. Prime factorization of 73983 in exponential form is:

73983 = 3¹ × 7¹ × 13¹ × 271¹

Step-2: 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-3: Factors of 73983

List of positive integer factors of 73983 that divides 73983 without a remainder.

1, 3, 7, 13, 21, 39, 91, 271, 273, 813, 1897, 3523, 5691, 10569, 24661

Step-4: Factors of 73997

List of positive integer factors of 73997 that divides 73983 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73983 and 73997. The biggest common factor number is the GCF number.
So the greatest common factor 73983 and 73997 is 7.

Also check out the Least Common Multiple of 73983 and 73997