What is the Greatest Common Factor of 44291 and 44304?

Greatest common factor (GCF) of 44291 and 44304 is 13.

GCF(44291,44304) = 13

We will now calculate the prime factors of 44291 and 44304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44291 and 44304.

How to find the GCF of 44291 and 44304?

We will first find the prime factorization of 44291 and 44304. After we will calculate the factors of 44291 and 44304 and find the biggest common factor number .

Step-1: Prime Factorization of 44291

Prime factors of 44291 are 13, 3407. Prime factorization of 44291 in exponential form is:

44291 = 13¹ × 3407¹

Step-2: Prime Factorization of 44304

Prime factors of 44304 are 2, 3, 13, 71. Prime factorization of 44304 in exponential form is:

44304 = 2⁴ × 3¹ × 13¹ × 71¹

Step-3: Factors of 44291

List of positive integer factors of 44291 that divides 44291 without a remainder.

1, 13, 3407

Step-4: Factors of 44304

List of positive integer factors of 44304 that divides 44291 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 71, 78, 104, 142, 156, 208, 213, 284, 312, 426, 568, 624, 852, 923, 1136, 1704, 1846, 2769, 3408, 3692, 5538, 7384, 11076, 14768, 22152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44291 and 44304. The biggest common factor number is the GCF number.
So the greatest common factor 44291 and 44304 is 13.

Also check out the Least Common Multiple of 44291 and 44304