What is the Greatest Common Factor of 44251 and 44268?

Greatest common factor (GCF) of 44251 and 44268 is 17.

GCF(44251,44268) = 17

We will now calculate the prime factors of 44251 and 44268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44251 and 44268.

How to find the GCF of 44251 and 44268?

We will first find the prime factorization of 44251 and 44268. After we will calculate the factors of 44251 and 44268 and find the biggest common factor number .

Step-1: Prime Factorization of 44251

Prime factors of 44251 are 17, 19, 137. Prime factorization of 44251 in exponential form is:

44251 = 17¹ × 19¹ × 137¹

Step-2: 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-3: Factors of 44251

List of positive integer factors of 44251 that divides 44251 without a remainder.

1, 17, 19, 137, 323, 2329, 2603

Step-4: Factors of 44268

List of positive integer factors of 44268 that divides 44251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44251 and 44268. The biggest common factor number is the GCF number.
So the greatest common factor 44251 and 44268 is 17.

Also check out the Least Common Multiple of 44251 and 44268