What is the Greatest Common Factor of 43138 and 43142?

Greatest common factor (GCF) of 43138 and 43142 is 2.

GCF(43138,43142) = 2

We will now calculate the prime factors of 43138 and 43142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43138 and 43142.

How to find the GCF of 43138 and 43142?

We will first find the prime factorization of 43138 and 43142. After we will calculate the factors of 43138 and 43142 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 43142

Prime factors of 43142 are 2, 11, 37, 53. Prime factorization of 43142 in exponential form is:

43142 = 2¹ × 11¹ × 37¹ × 53¹

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 43142

List of positive integer factors of 43142 that divides 43138 without a remainder.

1, 2, 11, 22, 37, 53, 74, 106, 407, 583, 814, 1166, 1961, 3922, 21571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43138 and 43142. The biggest common factor number is the GCF number.
So the greatest common factor 43138 and 43142 is 2.

Also check out the Least Common Multiple of 43138 and 43142