What is the Greatest Common Factor of 31684 and 31704?

Greatest common factor (GCF) of 31684 and 31704 is 4.

GCF(31684,31704) = 4

We will now calculate the prime factors of 31684 and 31704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31684 and 31704.

How to find the GCF of 31684 and 31704?

We will first find the prime factorization of 31684 and 31704. After we will calculate the factors of 31684 and 31704 and find the biggest common factor number .

Step-1: Prime Factorization of 31684

Prime factors of 31684 are 2, 89. Prime factorization of 31684 in exponential form is:

31684 = 2² × 89²

Step-2: Prime Factorization of 31704

Prime factors of 31704 are 2, 3, 1321. Prime factorization of 31704 in exponential form is:

31704 = 2³ × 3¹ × 1321¹

Step-3: Factors of 31684

List of positive integer factors of 31684 that divides 31684 without a remainder.

1, 2, 4, 89, 178, 356, 7921, 15842

Step-4: Factors of 31704

List of positive integer factors of 31704 that divides 31684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1321, 2642, 3963, 5284, 7926, 10568, 15852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31684 and 31704. The biggest common factor number is the GCF number.
So the greatest common factor 31684 and 31704 is 4.

Also check out the Least Common Multiple of 31684 and 31704