What is the Greatest Common Factor of 44973 and 44988?

Greatest common factor (GCF) of 44973 and 44988 is 3.

GCF(44973,44988) = 3

We will now calculate the prime factors of 44973 and 44988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44973 and 44988.

How to find the GCF of 44973 and 44988?

We will first find the prime factorization of 44973 and 44988. After we will calculate the factors of 44973 and 44988 and find the biggest common factor number .

Step-1: Prime Factorization of 44973

Prime factors of 44973 are 3, 19, 263. Prime factorization of 44973 in exponential form is:

44973 = 3² × 19¹ × 263¹

Step-2: Prime Factorization of 44988

Prime factors of 44988 are 2, 3, 23, 163. Prime factorization of 44988 in exponential form is:

44988 = 2² × 3¹ × 23¹ × 163¹

Step-3: Factors of 44973

List of positive integer factors of 44973 that divides 44973 without a remainder.

1, 3, 9, 19, 57, 171, 263, 789, 2367, 4997, 14991

Step-4: Factors of 44988

List of positive integer factors of 44988 that divides 44973 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 163, 276, 326, 489, 652, 978, 1956, 3749, 7498, 11247, 14996, 22494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44973 and 44988. The biggest common factor number is the GCF number.
So the greatest common factor 44973 and 44988 is 3.

Also check out the Least Common Multiple of 44973 and 44988