What is the Greatest Common Factor of 45094 and 45109?

Greatest common factor (GCF) of 45094 and 45109 is 1.

GCF(45094,45109) = 1

We will now calculate the prime factors of 45094 and 45109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45094 and 45109.

How to find the GCF of 45094 and 45109?

We will first find the prime factorization of 45094 and 45109. After we will calculate the factors of 45094 and 45109 and find the biggest common factor number .

Step-1: Prime Factorization of 45094

Prime factors of 45094 are 2, 7, 3221. Prime factorization of 45094 in exponential form is:

45094 = 2¹ × 7¹ × 3221¹

Step-2: Prime Factorization of 45109

Prime factors of 45109 are 79, 571. Prime factorization of 45109 in exponential form is:

45109 = 79¹ × 571¹

Step-3: Factors of 45094

List of positive integer factors of 45094 that divides 45094 without a remainder.

1, 2, 7, 14, 3221, 6442, 22547

Step-4: Factors of 45109

List of positive integer factors of 45109 that divides 45094 without a remainder.

1, 79, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45094 and 45109. The biggest common factor number is the GCF number.
So the greatest common factor 45094 and 45109 is 1.

Also check out the Least Common Multiple of 45094 and 45109