What is the Greatest Common Factor of 44268 and 44272?

Greatest common factor (GCF) of 44268 and 44272 is 4.

GCF(44268,44272) = 4

We will now calculate the prime factors of 44268 and 44272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44268 and 44272.

How to find the GCF of 44268 and 44272?

We will first find the prime factorization of 44268 and 44272. After we will calculate the factors of 44268 and 44272 and find the biggest common factor number .

Step-1: Prime Factorization of 44268

Prime factors of 44268 are 2, 3, 7, 17, 31. Prime factorization of 44268 in exponential form is:

44268 = 2² × 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 44272

Prime factors of 44272 are 2, 2767. Prime factorization of 44272 in exponential form is:

44272 = 2⁴ × 2767¹

Step-3: Factors of 44268

List of positive integer factors of 44268 that divides 44268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 31, 34, 42, 51, 62, 68, 84, 93, 102, 119, 124, 186, 204, 217, 238, 357, 372, 434, 476, 527, 651, 714, 868, 1054, 1302, 1428, 1581, 2108, 2604, 3162, 3689, 6324, 7378, 11067, 14756, 22134

Step-4: Factors of 44272

List of positive integer factors of 44272 that divides 44268 without a remainder.

1, 2, 4, 8, 16, 2767, 5534, 11068, 22136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44268 and 44272. The biggest common factor number is the GCF number.
So the greatest common factor 44268 and 44272 is 4.

Also check out the Least Common Multiple of 44268 and 44272