What is the Greatest Common Factor of 42718 and 42733?

Greatest common factor (GCF) of 42718 and 42733 is 1.

GCF(42718,42733) = 1

We will now calculate the prime factors of 42718 and 42733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42718 and 42733.

How to find the GCF of 42718 and 42733?

We will first find the prime factorization of 42718 and 42733. After we will calculate the factors of 42718 and 42733 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 42733

Prime factors of 42733 are 151, 283. Prime factorization of 42733 in exponential form is:

42733 = 151¹ × 283¹

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 42733

List of positive integer factors of 42733 that divides 42718 without a remainder.

1, 151, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42718 and 42733. The biggest common factor number is the GCF number.
So the greatest common factor 42718 and 42733 is 1.

Also check out the Least Common Multiple of 42718 and 42733