What is the Greatest Common Factor of 40734 and 40742?

Greatest common factor (GCF) of 40734 and 40742 is 2.

GCF(40734,40742) = 2

We will now calculate the prime factors of 40734 and 40742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40734 and 40742.

How to find the GCF of 40734 and 40742?

We will first find the prime factorization of 40734 and 40742. After we will calculate the factors of 40734 and 40742 and find the biggest common factor number .

Step-1: Prime Factorization of 40734

Prime factors of 40734 are 2, 3, 31, 73. Prime factorization of 40734 in exponential form is:

40734 = 2¹ × 3² × 31¹ × 73¹

Step-2: Prime Factorization of 40742

Prime factors of 40742 are 2, 13, 1567. Prime factorization of 40742 in exponential form is:

40742 = 2¹ × 13¹ × 1567¹

Step-3: Factors of 40734

List of positive integer factors of 40734 that divides 40734 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 73, 93, 146, 186, 219, 279, 438, 558, 657, 1314, 2263, 4526, 6789, 13578, 20367

Step-4: Factors of 40742

List of positive integer factors of 40742 that divides 40734 without a remainder.

1, 2, 13, 26, 1567, 3134, 20371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40734 and 40742. The biggest common factor number is the GCF number.
So the greatest common factor 40734 and 40742 is 2.

Also check out the Least Common Multiple of 40734 and 40742