What is the Greatest Common Factor of 44946 and 44958?

Greatest common factor (GCF) of 44946 and 44958 is 6.

GCF(44946,44958) = 6

We will now calculate the prime factors of 44946 and 44958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44946 and 44958.

How to find the GCF of 44946 and 44958?

We will first find the prime factorization of 44946 and 44958. After we will calculate the factors of 44946 and 44958 and find the biggest common factor number .

Step-1: Prime Factorization of 44946

Prime factors of 44946 are 2, 3, 11, 227. Prime factorization of 44946 in exponential form is:

44946 = 2¹ × 3² × 11¹ × 227¹

Step-2: Prime Factorization of 44958

Prime factors of 44958 are 2, 3, 59, 127. Prime factorization of 44958 in exponential form is:

44958 = 2¹ × 3¹ × 59¹ × 127¹

Step-3: Factors of 44946

List of positive integer factors of 44946 that divides 44946 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 227, 454, 681, 1362, 2043, 2497, 4086, 4994, 7491, 14982, 22473

Step-4: Factors of 44958

List of positive integer factors of 44958 that divides 44946 without a remainder.

1, 2, 3, 6, 59, 118, 127, 177, 254, 354, 381, 762, 7493, 14986, 22479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44946 and 44958. The biggest common factor number is the GCF number.
So the greatest common factor 44946 and 44958 is 6.

Also check out the Least Common Multiple of 44946 and 44958