What is the Greatest Common Factor of 44253 and 44262?

Greatest common factor (GCF) of 44253 and 44262 is 9.

GCF(44253,44262) = 9

We will now calculate the prime factors of 44253 and 44262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44253 and 44262.

How to find the GCF of 44253 and 44262?

We will first find the prime factorization of 44253 and 44262. After we will calculate the factors of 44253 and 44262 and find the biggest common factor number .

Step-1: Prime Factorization of 44253

Prime factors of 44253 are 3, 11, 149. Prime factorization of 44253 in exponential form is:

44253 = 3³ × 11¹ × 149¹

Step-2: Prime Factorization of 44262

Prime factors of 44262 are 2, 3, 2459. Prime factorization of 44262 in exponential form is:

44262 = 2¹ × 3² × 2459¹

Step-3: Factors of 44253

List of positive integer factors of 44253 that divides 44253 without a remainder.

1, 3, 9, 11, 27, 33, 99, 149, 297, 447, 1341, 1639, 4023, 4917, 14751

Step-4: Factors of 44262

List of positive integer factors of 44262 that divides 44253 without a remainder.

1, 2, 3, 6, 9, 18, 2459, 4918, 7377, 14754, 22131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44253 and 44262. The biggest common factor number is the GCF number.
So the greatest common factor 44253 and 44262 is 9.

Also check out the Least Common Multiple of 44253 and 44262