What is the Greatest Common Factor of 73698 and 73707?

Greatest common factor (GCF) of 73698 and 73707 is 3.

GCF(73698,73707) = 3

We will now calculate the prime factors of 73698 and 73707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73698 and 73707.

How to find the GCF of 73698 and 73707?

We will first find the prime factorization of 73698 and 73707. After we will calculate the factors of 73698 and 73707 and find the biggest common factor number .

Step-1: Prime Factorization of 73698

Prime factors of 73698 are 2, 3, 71, 173. Prime factorization of 73698 in exponential form is:

73698 = 2¹ × 3¹ × 71¹ × 173¹

Step-2: Prime Factorization of 73707

Prime factors of 73707 are 3, 79, 311. Prime factorization of 73707 in exponential form is:

73707 = 3¹ × 79¹ × 311¹

Step-3: Factors of 73698

List of positive integer factors of 73698 that divides 73698 without a remainder.

1, 2, 3, 6, 71, 142, 173, 213, 346, 426, 519, 1038, 12283, 24566, 36849

Step-4: Factors of 73707

List of positive integer factors of 73707 that divides 73698 without a remainder.

1, 3, 79, 237, 311, 933, 24569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73698 and 73707. The biggest common factor number is the GCF number.
So the greatest common factor 73698 and 73707 is 3.

Also check out the Least Common Multiple of 73698 and 73707