What is the Greatest Common Factor of 43100 and 43105?

Greatest common factor (GCF) of 43100 and 43105 is 5.

GCF(43100,43105) = 5

We will now calculate the prime factors of 43100 and 43105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43100 and 43105.

How to find the GCF of 43100 and 43105?

We will first find the prime factorization of 43100 and 43105. After we will calculate the factors of 43100 and 43105 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 43105

Prime factors of 43105 are 5, 37, 233. Prime factorization of 43105 in exponential form is:

43105 = 5¹ × 37¹ × 233¹

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 43105

List of positive integer factors of 43105 that divides 43100 without a remainder.

1, 5, 37, 185, 233, 1165, 8621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43100 and 43105. The biggest common factor number is the GCF number.
So the greatest common factor 43100 and 43105 is 5.

Also check out the Least Common Multiple of 43100 and 43105