What is the Greatest Common Factor of 81140 and 81160?

Greatest common factor (GCF) of 81140 and 81160 is 20.

GCF(81140,81160) = 20

We will now calculate the prime factors of 81140 and 81160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81140 and 81160.

How to find the GCF of 81140 and 81160?

We will first find the prime factorization of 81140 and 81160. After we will calculate the factors of 81140 and 81160 and find the biggest common factor number .

Step-1: Prime Factorization of 81140

Prime factors of 81140 are 2, 5, 4057. Prime factorization of 81140 in exponential form is:

81140 = 2² × 5¹ × 4057¹

Step-2: Prime Factorization of 81160

Prime factors of 81160 are 2, 5, 2029. Prime factorization of 81160 in exponential form is:

81160 = 2³ × 5¹ × 2029¹

Step-3: Factors of 81140

List of positive integer factors of 81140 that divides 81140 without a remainder.

1, 2, 4, 5, 10, 20, 4057, 8114, 16228, 20285, 40570

Step-4: Factors of 81160

List of positive integer factors of 81160 that divides 81140 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2029, 4058, 8116, 10145, 16232, 20290, 40580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81140 and 81160. The biggest common factor number is the GCF number.
So the greatest common factor 81140 and 81160 is 20.

Also check out the Least Common Multiple of 81140 and 81160