What is the Greatest Common Factor of 43138 and 43148?

Greatest common factor (GCF) of 43138 and 43148 is 2.

GCF(43138,43148) = 2

We will now calculate the prime factors of 43138 and 43148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43138 and 43148.

How to find the GCF of 43138 and 43148?

We will first find the prime factorization of 43138 and 43148. After we will calculate the factors of 43138 and 43148 and find the biggest common factor number .

Step-1: Prime Factorization of 43138

Prime factors of 43138 are 2, 21569. Prime factorization of 43138 in exponential form is:

43138 = 2¹ × 21569¹

Step-2: Prime Factorization of 43148

Prime factors of 43148 are 2, 7, 23, 67. Prime factorization of 43148 in exponential form is:

43148 = 2² × 7¹ × 23¹ × 67¹

Step-3: Factors of 43138

List of positive integer factors of 43138 that divides 43138 without a remainder.

1, 2, 21569

Step-4: Factors of 43148

List of positive integer factors of 43148 that divides 43138 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 67, 92, 134, 161, 268, 322, 469, 644, 938, 1541, 1876, 3082, 6164, 10787, 21574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43138 and 43148. The biggest common factor number is the GCF number.
So the greatest common factor 43138 and 43148 is 2.

Also check out the Least Common Multiple of 43138 and 43148