What is the Greatest Common Factor of 44974 and 44990?

Greatest common factor (GCF) of 44974 and 44990 is 2.

GCF(44974,44990) = 2

We will now calculate the prime factors of 44974 and 44990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44974 and 44990.

How to find the GCF of 44974 and 44990?

We will first find the prime factorization of 44974 and 44990. After we will calculate the factors of 44974 and 44990 and find the biggest common factor number .

Step-1: Prime Factorization of 44974

Prime factors of 44974 are 2, 113, 199. Prime factorization of 44974 in exponential form is:

44974 = 2¹ × 113¹ × 199¹

Step-2: Prime Factorization of 44990

Prime factors of 44990 are 2, 5, 11, 409. Prime factorization of 44990 in exponential form is:

44990 = 2¹ × 5¹ × 11¹ × 409¹

Step-3: Factors of 44974

List of positive integer factors of 44974 that divides 44974 without a remainder.

1, 2, 113, 199, 226, 398, 22487

Step-4: Factors of 44990

List of positive integer factors of 44990 that divides 44974 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 409, 818, 2045, 4090, 4499, 8998, 22495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44974 and 44990. The biggest common factor number is the GCF number.
So the greatest common factor 44974 and 44990 is 2.

Also check out the Least Common Multiple of 44974 and 44990