What is the Greatest Common Factor of 45661 and 45675?

Greatest common factor (GCF) of 45661 and 45675 is 7.

GCF(45661,45675) = 7

We will now calculate the prime factors of 45661 and 45675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45661 and 45675.

How to find the GCF of 45661 and 45675?

We will first find the prime factorization of 45661 and 45675. After we will calculate the factors of 45661 and 45675 and find the biggest common factor number .

Step-1: Prime Factorization of 45661

Prime factors of 45661 are 7, 11, 593. Prime factorization of 45661 in exponential form is:

45661 = 7¹ × 11¹ × 593¹

Step-2: 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-3: Factors of 45661

List of positive integer factors of 45661 that divides 45661 without a remainder.

1, 7, 11, 77, 593, 4151, 6523

Step-4: Factors of 45675

List of positive integer factors of 45675 that divides 45661 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45661 and 45675. The biggest common factor number is the GCF number.
So the greatest common factor 45661 and 45675 is 7.

Also check out the Least Common Multiple of 45661 and 45675