What is the Greatest Common Factor of 44768 and 44772?

Greatest common factor (GCF) of 44768 and 44772 is 4.

GCF(44768,44772) = 4

We will now calculate the prime factors of 44768 and 44772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44768 and 44772.

How to find the GCF of 44768 and 44772?

We will first find the prime factorization of 44768 and 44772. After we will calculate the factors of 44768 and 44772 and find the biggest common factor number .

Step-1: Prime Factorization of 44768

Prime factors of 44768 are 2, 1399. Prime factorization of 44768 in exponential form is:

44768 = 2⁵ × 1399¹

Step-2: Prime Factorization of 44772

Prime factors of 44772 are 2, 3, 7, 13, 41. Prime factorization of 44772 in exponential form is:

44772 = 2² × 3¹ × 7¹ × 13¹ × 41¹

Step-3: Factors of 44768

List of positive integer factors of 44768 that divides 44768 without a remainder.

1, 2, 4, 8, 16, 32, 1399, 2798, 5596, 11192, 22384

Step-4: Factors of 44772

List of positive integer factors of 44772 that divides 44768 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 52, 78, 82, 84, 91, 123, 156, 164, 182, 246, 273, 287, 364, 492, 533, 546, 574, 861, 1066, 1092, 1148, 1599, 1722, 2132, 3198, 3444, 3731, 6396, 7462, 11193, 14924, 22386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44768 and 44772. The biggest common factor number is the GCF number.
So the greatest common factor 44768 and 44772 is 4.

Also check out the Least Common Multiple of 44768 and 44772