What is the Greatest Common Factor of 43100 and 43106?

Greatest common factor (GCF) of 43100 and 43106 is 2.

GCF(43100,43106) = 2

We will now calculate the prime factors of 43100 and 43106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43100 and 43106.

How to find the GCF of 43100 and 43106?

We will first find the prime factorization of 43100 and 43106. After we will calculate the factors of 43100 and 43106 and find the biggest common factor number .

Step-1: Prime Factorization of 43100

Prime factors of 43100 are 2, 5, 431. Prime factorization of 43100 in exponential form is:

43100 = 2² × 5² × 431¹

Step-2: Prime Factorization of 43106

Prime factors of 43106 are 2, 7, 3079. Prime factorization of 43106 in exponential form is:

43106 = 2¹ × 7¹ × 3079¹

Step-3: Factors of 43100

List of positive integer factors of 43100 that divides 43100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 431, 862, 1724, 2155, 4310, 8620, 10775, 21550

Step-4: Factors of 43106

List of positive integer factors of 43106 that divides 43100 without a remainder.

1, 2, 7, 14, 3079, 6158, 21553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43100 and 43106. The biggest common factor number is the GCF number.
So the greatest common factor 43100 and 43106 is 2.

Also check out the Least Common Multiple of 43100 and 43106