What is the Greatest Common Factor of 73671 and 73684?

Greatest common factor (GCF) of 73671 and 73684 is 13.

GCF(73671,73684) = 13

We will now calculate the prime factors of 73671 and 73684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73671 and 73684.

How to find the GCF of 73671 and 73684?

We will first find the prime factorization of 73671 and 73684. After we will calculate the factors of 73671 and 73684 and find the biggest common factor number .

Step-1: Prime Factorization of 73671

Prime factors of 73671 are 3, 13, 1889. Prime factorization of 73671 in exponential form is:

73671 = 3¹ × 13¹ × 1889¹

Step-2: Prime Factorization of 73684

Prime factors of 73684 are 2, 13, 109. Prime factorization of 73684 in exponential form is:

73684 = 2² × 13² × 109¹

Step-3: Factors of 73671

List of positive integer factors of 73671 that divides 73671 without a remainder.

1, 3, 13, 39, 1889, 5667, 24557

Step-4: Factors of 73684

List of positive integer factors of 73684 that divides 73671 without a remainder.

1, 2, 4, 13, 26, 52, 109, 169, 218, 338, 436, 676, 1417, 2834, 5668, 18421, 36842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73671 and 73684. The biggest common factor number is the GCF number.
So the greatest common factor 73671 and 73684 is 13.

Also check out the Least Common Multiple of 73671 and 73684