What is the Greatest Common Factor of 45738 and 45749?

Greatest common factor (GCF) of 45738 and 45749 is 11.

GCF(45738,45749) = 11

We will now calculate the prime factors of 45738 and 45749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45738 and 45749.

How to find the GCF of 45738 and 45749?

We will first find the prime factorization of 45738 and 45749. After we will calculate the factors of 45738 and 45749 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 45749

Prime factors of 45749 are 11, 4159. Prime factorization of 45749 in exponential form is:

45749 = 11¹ × 4159¹

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 45749

List of positive integer factors of 45749 that divides 45738 without a remainder.

1, 11, 4159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45738 and 45749. The biggest common factor number is the GCF number.
So the greatest common factor 45738 and 45749 is 11.

Also check out the Least Common Multiple of 45738 and 45749