What is the Greatest Common Factor of 45814 and 45834?

Greatest common factor (GCF) of 45814 and 45834 is 2.

GCF(45814,45834) = 2

We will now calculate the prime factors of 45814 and 45834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45814 and 45834.

How to find the GCF of 45814 and 45834?

We will first find the prime factorization of 45814 and 45834. After we will calculate the factors of 45814 and 45834 and find the biggest common factor number .

Step-1: Prime Factorization of 45814

Prime factors of 45814 are 2, 22907. Prime factorization of 45814 in exponential form is:

45814 = 2¹ × 22907¹

Step-2: Prime Factorization of 45834

Prime factors of 45834 are 2, 3, 7639. Prime factorization of 45834 in exponential form is:

45834 = 2¹ × 3¹ × 7639¹

Step-3: Factors of 45814

List of positive integer factors of 45814 that divides 45814 without a remainder.

1, 2, 22907

Step-4: Factors of 45834

List of positive integer factors of 45834 that divides 45814 without a remainder.

1, 2, 3, 6, 7639, 15278, 22917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45814 and 45834. The biggest common factor number is the GCF number.
So the greatest common factor 45814 and 45834 is 2.

Also check out the Least Common Multiple of 45814 and 45834