What is the Greatest Common Factor of 42718 and 42731?

Greatest common factor (GCF) of 42718 and 42731 is 13.

GCF(42718,42731) = 13

We will now calculate the prime factors of 42718 and 42731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42718 and 42731.

How to find the GCF of 42718 and 42731?

We will first find the prime factorization of 42718 and 42731. After we will calculate the factors of 42718 and 42731 and find the biggest common factor number .

Step-1: Prime Factorization of 42718

Prime factors of 42718 are 2, 13, 31, 53. Prime factorization of 42718 in exponential form is:

42718 = 2¹ × 13¹ × 31¹ × 53¹

Step-2: Prime Factorization of 42731

Prime factors of 42731 are 13, 19, 173. Prime factorization of 42731 in exponential form is:

42731 = 13¹ × 19¹ × 173¹

Step-3: Factors of 42718

List of positive integer factors of 42718 that divides 42718 without a remainder.

1, 2, 13, 26, 31, 53, 62, 106, 403, 689, 806, 1378, 1643, 3286, 21359

Step-4: Factors of 42731

List of positive integer factors of 42731 that divides 42718 without a remainder.

1, 13, 19, 173, 247, 2249, 3287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42718 and 42731. The biggest common factor number is the GCF number.
So the greatest common factor 42718 and 42731 is 13.

Also check out the Least Common Multiple of 42718 and 42731