What is the Greatest Common Factor of 44979 and 44990?

Greatest common factor (GCF) of 44979 and 44990 is 11.

GCF(44979,44990) = 11

We will now calculate the prime factors of 44979 and 44990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44979 and 44990.

How to find the GCF of 44979 and 44990?

We will first find the prime factorization of 44979 and 44990. After we will calculate the factors of 44979 and 44990 and find the biggest common factor number .

Step-1: Prime Factorization of 44979

Prime factors of 44979 are 3, 11, 29, 47. Prime factorization of 44979 in exponential form is:

44979 = 3¹ × 11¹ × 29¹ × 47¹

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 44979

List of positive integer factors of 44979 that divides 44979 without a remainder.

1, 3, 11, 29, 33, 47, 87, 141, 319, 517, 957, 1363, 1551, 4089, 14993

Step-4: Factors of 44990

List of positive integer factors of 44990 that divides 44979 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 44979 and 44990. The biggest common factor number is the GCF number.
So the greatest common factor 44979 and 44990 is 11.

Also check out the Least Common Multiple of 44979 and 44990