What is the Greatest Common Factor of 43180 and 43198?

Greatest common factor (GCF) of 43180 and 43198 is 2.

GCF(43180,43198) = 2

We will now calculate the prime factors of 43180 and 43198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43180 and 43198.

How to find the GCF of 43180 and 43198?

We will first find the prime factorization of 43180 and 43198. After we will calculate the factors of 43180 and 43198 and find the biggest common factor number .

Step-1: Prime Factorization of 43180

Prime factors of 43180 are 2, 5, 17, 127. Prime factorization of 43180 in exponential form is:

43180 = 2² × 5¹ × 17¹ × 127¹

Step-2: Prime Factorization of 43198

Prime factors of 43198 are 2, 21599. Prime factorization of 43198 in exponential form is:

43198 = 2¹ × 21599¹

Step-3: Factors of 43180

List of positive integer factors of 43180 that divides 43180 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 127, 170, 254, 340, 508, 635, 1270, 2159, 2540, 4318, 8636, 10795, 21590

Step-4: Factors of 43198

List of positive integer factors of 43198 that divides 43180 without a remainder.

1, 2, 21599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43180 and 43198. The biggest common factor number is the GCF number.
So the greatest common factor 43180 and 43198 is 2.

Also check out the Least Common Multiple of 43180 and 43198