What is the Greatest Common Factor of 45677 and 45689?

Greatest common factor (GCF) of 45677 and 45689 is 1.

GCF(45677,45689) = 1

We will now calculate the prime factors of 45677 and 45689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45677 and 45689.

How to find the GCF of 45677 and 45689?

We will first find the prime factorization of 45677 and 45689. After we will calculate the factors of 45677 and 45689 and find the biggest common factor number .

Step-1: Prime Factorization of 45677

Prime factors of 45677 are 45677. Prime factorization of 45677 in exponential form is:

45677 = 45677¹

Step-2: 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-3: Factors of 45677

List of positive integer factors of 45677 that divides 45677 without a remainder.

Step-4: Factors of 45689

List of positive integer factors of 45689 that divides 45677 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45677 and 45689. The biggest common factor number is the GCF number.
So the greatest common factor 45677 and 45689 is 1.

Also check out the Least Common Multiple of 45677 and 45689