What is the Greatest Common Factor of 45594 and 45607?

Greatest common factor (GCF) of 45594 and 45607 is 1.

GCF(45594,45607) = 1

We will now calculate the prime factors of 45594 and 45607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45594 and 45607.

How to find the GCF of 45594 and 45607?

We will first find the prime factorization of 45594 and 45607. After we will calculate the factors of 45594 and 45607 and find the biggest common factor number .

Step-1: Prime Factorization of 45594

Prime factors of 45594 are 2, 3, 17, 149. Prime factorization of 45594 in exponential form is:

45594 = 2¹ × 3² × 17¹ × 149¹

Step-2: Prime Factorization of 45607

Prime factors of 45607 are 59, 773. Prime factorization of 45607 in exponential form is:

45607 = 59¹ × 773¹

Step-3: Factors of 45594

List of positive integer factors of 45594 that divides 45594 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 149, 153, 298, 306, 447, 894, 1341, 2533, 2682, 5066, 7599, 15198, 22797

Step-4: Factors of 45607

List of positive integer factors of 45607 that divides 45594 without a remainder.

1, 59, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45594 and 45607. The biggest common factor number is the GCF number.
So the greatest common factor 45594 and 45607 is 1.

Also check out the Least Common Multiple of 45594 and 45607