What is the Greatest Common Factor of 18712 and 18722?

Greatest common factor (GCF) of 18712 and 18722 is 2.

GCF(18712,18722) = 2

We will now calculate the prime factors of 18712 and 18722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18712 and 18722.

How to find the GCF of 18712 and 18722?

We will first find the prime factorization of 18712 and 18722. After we will calculate the factors of 18712 and 18722 and find the biggest common factor number .

Step-1: Prime Factorization of 18712

Prime factors of 18712 are 2, 2339. Prime factorization of 18712 in exponential form is:

18712 = 2³ × 2339¹

Step-2: Prime Factorization of 18722

Prime factors of 18722 are 2, 11, 23, 37. Prime factorization of 18722 in exponential form is:

18722 = 2¹ × 11¹ × 23¹ × 37¹

Step-3: Factors of 18712

List of positive integer factors of 18712 that divides 18712 without a remainder.

1, 2, 4, 8, 2339, 4678, 9356

Step-4: Factors of 18722

List of positive integer factors of 18722 that divides 18712 without a remainder.

1, 2, 11, 22, 23, 37, 46, 74, 253, 407, 506, 814, 851, 1702, 9361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18712 and 18722. The biggest common factor number is the GCF number.
So the greatest common factor 18712 and 18722 is 2.

Also check out the Least Common Multiple of 18712 and 18722