What is the Greatest Common Factor of 47723 and 47742?

Greatest common factor (GCF) of 47723 and 47742 is 1.

GCF(47723,47742) = 1

We will now calculate the prime factors of 47723 and 47742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47723 and 47742.

How to find the GCF of 47723 and 47742?

We will first find the prime factorization of 47723 and 47742. After we will calculate the factors of 47723 and 47742 and find the biggest common factor number .

Step-1: Prime Factorization of 47723

Prime factors of 47723 are 13, 3671. Prime factorization of 47723 in exponential form is:

47723 = 13¹ × 3671¹

Step-2: Prime Factorization of 47742

Prime factors of 47742 are 2, 3, 73, 109. Prime factorization of 47742 in exponential form is:

47742 = 2¹ × 3¹ × 73¹ × 109¹

Step-3: Factors of 47723

List of positive integer factors of 47723 that divides 47723 without a remainder.

1, 13, 3671

Step-4: Factors of 47742

List of positive integer factors of 47742 that divides 47723 without a remainder.

1, 2, 3, 6, 73, 109, 146, 218, 219, 327, 438, 654, 7957, 15914, 23871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47723 and 47742. The biggest common factor number is the GCF number.
So the greatest common factor 47723 and 47742 is 1.

Also check out the Least Common Multiple of 47723 and 47742