What is the Greatest Common Factor of 42738 and 42752?

Greatest common factor (GCF) of 42738 and 42752 is 2.

GCF(42738,42752) = 2

We will now calculate the prime factors of 42738 and 42752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42738 and 42752.

How to find the GCF of 42738 and 42752?

We will first find the prime factorization of 42738 and 42752. After we will calculate the factors of 42738 and 42752 and find the biggest common factor number .

Step-1: Prime Factorization of 42738

Prime factors of 42738 are 2, 3, 17, 419. Prime factorization of 42738 in exponential form is:

42738 = 2¹ × 3¹ × 17¹ × 419¹

Step-2: Prime Factorization of 42752

Prime factors of 42752 are 2, 167. Prime factorization of 42752 in exponential form is:

42752 = 2⁸ × 167¹

Step-3: Factors of 42738

List of positive integer factors of 42738 that divides 42738 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 419, 838, 1257, 2514, 7123, 14246, 21369

Step-4: Factors of 42752

List of positive integer factors of 42752 that divides 42738 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 668, 1336, 2672, 5344, 10688, 21376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42738 and 42752. The biggest common factor number is the GCF number.
So the greatest common factor 42738 and 42752 is 2.

Also check out the Least Common Multiple of 42738 and 42752