What is the Greatest Common Factor of 45802 and 45818?

Greatest common factor (GCF) of 45802 and 45818 is 2.

GCF(45802,45818) = 2

We will now calculate the prime factors of 45802 and 45818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45802 and 45818.

How to find the GCF of 45802 and 45818?

We will first find the prime factorization of 45802 and 45818. After we will calculate the factors of 45802 and 45818 and find the biggest common factor number .

Step-1: Prime Factorization of 45802

Prime factors of 45802 are 2, 22901. Prime factorization of 45802 in exponential form is:

45802 = 2¹ × 22901¹

Step-2: Prime Factorization of 45818

Prime factors of 45818 are 2, 31, 739. Prime factorization of 45818 in exponential form is:

45818 = 2¹ × 31¹ × 739¹

Step-3: Factors of 45802

List of positive integer factors of 45802 that divides 45802 without a remainder.

1, 2, 22901

Step-4: Factors of 45818

List of positive integer factors of 45818 that divides 45802 without a remainder.

1, 2, 31, 62, 739, 1478, 22909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45802 and 45818. The biggest common factor number is the GCF number.
So the greatest common factor 45802 and 45818 is 2.

Also check out the Least Common Multiple of 45802 and 45818