What is the Greatest Common Factor of 40742 and 40752?

Greatest common factor (GCF) of 40742 and 40752 is 2.

GCF(40742,40752) = 2

We will now calculate the prime factors of 40742 and 40752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40742 and 40752.

How to find the GCF of 40742 and 40752?

We will first find the prime factorization of 40742 and 40752. After we will calculate the factors of 40742 and 40752 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40752

Prime factors of 40752 are 2, 3, 283. Prime factorization of 40752 in exponential form is:

40752 = 2⁴ × 3² × 283¹

Step-3: Factors of 40742

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

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

Step-4: Factors of 40752

List of positive integer factors of 40752 that divides 40742 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 4528, 5094, 6792, 10188, 13584, 20376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40742 and 40752. The biggest common factor number is the GCF number.
So the greatest common factor 40742 and 40752 is 2.

Also check out the Least Common Multiple of 40742 and 40752