What is the Greatest Common Factor of 44972 and 44988?

Greatest common factor (GCF) of 44972 and 44988 is 4.

GCF(44972,44988) = 4

We will now calculate the prime factors of 44972 and 44988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44972 and 44988.

How to find the GCF of 44972 and 44988?

We will first find the prime factorization of 44972 and 44988. After we will calculate the factors of 44972 and 44988 and find the biggest common factor number .

Step-1: Prime Factorization of 44972

Prime factors of 44972 are 2, 11243. Prime factorization of 44972 in exponential form is:

44972 = 2² × 11243¹

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 44972

List of positive integer factors of 44972 that divides 44972 without a remainder.

1, 2, 4, 11243, 22486

Step-4: Factors of 44988

List of positive integer factors of 44988 that divides 44972 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 44972 and 44988. The biggest common factor number is the GCF number.
So the greatest common factor 44972 and 44988 is 4.

Also check out the Least Common Multiple of 44972 and 44988