What is the Greatest Common Factor of 45689 and 45693?

Greatest common factor (GCF) of 45689 and 45693 is 1.

GCF(45689,45693) = 1

We will now calculate the prime factors of 45689 and 45693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45689 and 45693.

How to find the GCF of 45689 and 45693?

We will first find the prime factorization of 45689 and 45693. After we will calculate the factors of 45689 and 45693 and find the biggest common factor number .

Step-1: Prime Factorization of 45689

Prime factors of 45689 are 7, 61, 107. Prime factorization of 45689 in exponential form is:

45689 = 7¹ × 61¹ × 107¹

Step-2: Prime Factorization of 45693

Prime factors of 45693 are 3, 5077. Prime factorization of 45693 in exponential form is:

45693 = 3² × 5077¹

Step-3: Factors of 45689

List of positive integer factors of 45689 that divides 45689 without a remainder.

1, 7, 61, 107, 427, 749, 6527

Step-4: Factors of 45693

List of positive integer factors of 45693 that divides 45689 without a remainder.

1, 3, 9, 5077, 15231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45689 and 45693. The biggest common factor number is the GCF number.
So the greatest common factor 45689 and 45693 is 1.

Also check out the Least Common Multiple of 45689 and 45693