What is the Greatest Common Factor of 45727 and 45738?

Greatest common factor (GCF) of 45727 and 45738 is 11.

GCF(45727,45738) = 11

We will now calculate the prime factors of 45727 and 45738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45727 and 45738.

How to find the GCF of 45727 and 45738?

We will first find the prime factorization of 45727 and 45738. After we will calculate the factors of 45727 and 45738 and find the biggest common factor number .

Step-1: Prime Factorization of 45727

Prime factors of 45727 are 11, 4157. Prime factorization of 45727 in exponential form is:

45727 = 11¹ × 4157¹

Step-2: 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-3: Factors of 45727

List of positive integer factors of 45727 that divides 45727 without a remainder.

1, 11, 4157

Step-4: Factors of 45738

List of positive integer factors of 45738 that divides 45727 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45727 and 45738. The biggest common factor number is the GCF number.
So the greatest common factor 45727 and 45738 is 11.

Also check out the Least Common Multiple of 45727 and 45738