What is the Greatest Common Factor of 47709 and 47722?

Greatest common factor (GCF) of 47709 and 47722 is 1.

GCF(47709,47722) = 1

We will now calculate the prime factors of 47709 and 47722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47709 and 47722.

How to find the GCF of 47709 and 47722?

We will first find the prime factorization of 47709 and 47722. After we will calculate the factors of 47709 and 47722 and find the biggest common factor number .

Step-1: Prime Factorization of 47709

Prime factors of 47709 are 3, 19, 31. Prime factorization of 47709 in exponential form is:

47709 = 3⁴ × 19¹ × 31¹

Step-2: Prime Factorization of 47722

Prime factors of 47722 are 2, 107, 223. Prime factorization of 47722 in exponential form is:

47722 = 2¹ × 107¹ × 223¹

Step-3: Factors of 47709

List of positive integer factors of 47709 that divides 47709 without a remainder.

1, 3, 9, 19, 27, 31, 57, 81, 93, 171, 279, 513, 589, 837, 1539, 1767, 2511, 5301, 15903

Step-4: Factors of 47722

List of positive integer factors of 47722 that divides 47709 without a remainder.

1, 2, 107, 214, 223, 446, 23861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47709 and 47722. The biggest common factor number is the GCF number.
So the greatest common factor 47709 and 47722 is 1.

Also check out the Least Common Multiple of 47709 and 47722