What is the Greatest Common Factor of 45854 and 45862?

Greatest common factor (GCF) of 45854 and 45862 is 2.

GCF(45854,45862) = 2

We will now calculate the prime factors of 45854 and 45862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45854 and 45862.

How to find the GCF of 45854 and 45862?

We will first find the prime factorization of 45854 and 45862. After we will calculate the factors of 45854 and 45862 and find the biggest common factor number .

Step-1: Prime Factorization of 45854

Prime factors of 45854 are 2, 101, 227. Prime factorization of 45854 in exponential form is:

45854 = 2¹ × 101¹ × 227¹

Step-2: Prime Factorization of 45862

Prime factors of 45862 are 2, 23, 997. Prime factorization of 45862 in exponential form is:

45862 = 2¹ × 23¹ × 997¹

Step-3: Factors of 45854

List of positive integer factors of 45854 that divides 45854 without a remainder.

1, 2, 101, 202, 227, 454, 22927

Step-4: Factors of 45862

List of positive integer factors of 45862 that divides 45854 without a remainder.

1, 2, 23, 46, 997, 1994, 22931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45854 and 45862. The biggest common factor number is the GCF number.
So the greatest common factor 45854 and 45862 is 2.

Also check out the Least Common Multiple of 45854 and 45862