What is the Greatest Common Factor of 45675 and 45694?

Greatest common factor (GCF) of 45675 and 45694 is 1.

GCF(45675,45694) = 1

We will now calculate the prime factors of 45675 and 45694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45675 and 45694.

How to find the GCF of 45675 and 45694?

We will first find the prime factorization of 45675 and 45694. After we will calculate the factors of 45675 and 45694 and find the biggest common factor number .

Step-1: Prime Factorization of 45675

Prime factors of 45675 are 3, 5, 7, 29. Prime factorization of 45675 in exponential form is:

45675 = 3² × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 45694

Prime factors of 45694 are 2, 11, 31, 67. Prime factorization of 45694 in exponential form is:

45694 = 2¹ × 11¹ × 31¹ × 67¹

Step-3: Factors of 45675

List of positive integer factors of 45675 that divides 45675 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 29, 35, 45, 63, 75, 87, 105, 145, 175, 203, 225, 261, 315, 435, 525, 609, 725, 1015, 1305, 1575, 1827, 2175, 3045, 5075, 6525, 9135, 15225

Step-4: Factors of 45694

List of positive integer factors of 45694 that divides 45675 without a remainder.

1, 2, 11, 22, 31, 62, 67, 134, 341, 682, 737, 1474, 2077, 4154, 22847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45675 and 45694. The biggest common factor number is the GCF number.
So the greatest common factor 45675 and 45694 is 1.

Also check out the Least Common Multiple of 45675 and 45694