What is the Greatest Common Factor of 45844 and 45850?

Greatest common factor (GCF) of 45844 and 45850 is 2.

GCF(45844,45850) = 2

We will now calculate the prime factors of 45844 and 45850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45844 and 45850.

How to find the GCF of 45844 and 45850?

We will first find the prime factorization of 45844 and 45850. After we will calculate the factors of 45844 and 45850 and find the biggest common factor number .

Step-1: Prime Factorization of 45844

Prime factors of 45844 are 2, 73, 157. Prime factorization of 45844 in exponential form is:

45844 = 2² × 73¹ × 157¹

Step-2: Prime Factorization of 45850

Prime factors of 45850 are 2, 5, 7, 131. Prime factorization of 45850 in exponential form is:

45850 = 2¹ × 5² × 7¹ × 131¹

Step-3: Factors of 45844

List of positive integer factors of 45844 that divides 45844 without a remainder.

1, 2, 4, 73, 146, 157, 292, 314, 628, 11461, 22922

Step-4: Factors of 45850

List of positive integer factors of 45850 that divides 45844 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 131, 175, 262, 350, 655, 917, 1310, 1834, 3275, 4585, 6550, 9170, 22925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45844 and 45850. The biggest common factor number is the GCF number.
So the greatest common factor 45844 and 45850 is 2.

Also check out the Least Common Multiple of 45844 and 45850