What is the Greatest Common Factor of 45689 and 45707?

Greatest common factor (GCF) of 45689 and 45707 is 1.

GCF(45689,45707) = 1

We will now calculate the prime factors of 45689 and 45707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45689 and 45707.

How to find the GCF of 45689 and 45707?

We will first find the prime factorization of 45689 and 45707. After we will calculate the factors of 45689 and 45707 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 45707

Prime factors of 45707 are 45707. Prime factorization of 45707 in exponential form is:

45707 = 45707¹

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 45707

List of positive integer factors of 45707 that divides 45689 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45689 and 45707. The biggest common factor number is the GCF number.
So the greatest common factor 45689 and 45707 is 1.

Also check out the Least Common Multiple of 45689 and 45707