What is the Greatest Common Factor of 44138 and 44148?

Greatest common factor (GCF) of 44138 and 44148 is 2.

GCF(44138,44148) = 2

We will now calculate the prime factors of 44138 and 44148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44138 and 44148.

How to find the GCF of 44138 and 44148?

We will first find the prime factorization of 44138 and 44148. After we will calculate the factors of 44138 and 44148 and find the biggest common factor number .

Step-1: Prime Factorization of 44138

Prime factors of 44138 are 2, 29, 761. Prime factorization of 44138 in exponential form is:

44138 = 2¹ × 29¹ × 761¹

Step-2: Prime Factorization of 44148

Prime factors of 44148 are 2, 3, 13, 283. Prime factorization of 44148 in exponential form is:

44148 = 2² × 3¹ × 13¹ × 283¹

Step-3: Factors of 44138

List of positive integer factors of 44138 that divides 44138 without a remainder.

1, 2, 29, 58, 761, 1522, 22069

Step-4: Factors of 44148

List of positive integer factors of 44148 that divides 44138 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 283, 566, 849, 1132, 1698, 3396, 3679, 7358, 11037, 14716, 22074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44138 and 44148. The biggest common factor number is the GCF number.
So the greatest common factor 44138 and 44148 is 2.

Also check out the Least Common Multiple of 44138 and 44148