What is the Greatest Common Factor of 45738 and 45742?

Greatest common factor (GCF) of 45738 and 45742 is 2.

GCF(45738,45742) = 2

We will now calculate the prime factors of 45738 and 45742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45738 and 45742.

How to find the GCF of 45738 and 45742?

We will first find the prime factorization of 45738 and 45742. After we will calculate the factors of 45738 and 45742 and find the biggest common factor number .

Step-1: Prime Factorization of 45738

Prime factors of 45738 are 2, 3, 7, 11. Prime factorization of 45738 in exponential form is:

45738 = 2¹ × 3³ × 7¹ × 11²

Step-2: Prime Factorization of 45742

Prime factors of 45742 are 2, 22871. Prime factorization of 45742 in exponential form is:

45742 = 2¹ × 22871¹

Step-3: Factors of 45738

List of positive integer factors of 45738 that divides 45738 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 121, 126, 154, 189, 198, 231, 242, 297, 363, 378, 462, 594, 693, 726, 847, 1089, 1386, 1694, 2079, 2178, 2541, 3267, 4158, 5082, 6534, 7623, 15246, 22869

Step-4: Factors of 45742

List of positive integer factors of 45742 that divides 45738 without a remainder.

1, 2, 22871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45738 and 45742. The biggest common factor number is the GCF number.
So the greatest common factor 45738 and 45742 is 2.

Also check out the Least Common Multiple of 45738 and 45742