What is the Greatest Common Factor of 43090 and 43100?

Greatest common factor (GCF) of 43090 and 43100 is 10.

GCF(43090,43100) = 10

We will now calculate the prime factors of 43090 and 43100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43090 and 43100.

How to find the GCF of 43090 and 43100?

We will first find the prime factorization of 43090 and 43100. After we will calculate the factors of 43090 and 43100 and find the biggest common factor number .

Step-1: Prime Factorization of 43090

Prime factors of 43090 are 2, 5, 31, 139. Prime factorization of 43090 in exponential form is:

43090 = 2¹ × 5¹ × 31¹ × 139¹

Step-2: 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-3: Factors of 43090

List of positive integer factors of 43090 that divides 43090 without a remainder.

1, 2, 5, 10, 31, 62, 139, 155, 278, 310, 695, 1390, 4309, 8618, 21545

Step-4: Factors of 43100

List of positive integer factors of 43100 that divides 43090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43090 and 43100. The biggest common factor number is the GCF number.
So the greatest common factor 43090 and 43100 is 10.

Also check out the Least Common Multiple of 43090 and 43100