What is the Greatest Common Factor of 81130 and 81140?

Greatest common factor (GCF) of 81130 and 81140 is 10.

GCF(81130,81140) = 10

We will now calculate the prime factors of 81130 and 81140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81130 and 81140.

How to find the GCF of 81130 and 81140?

We will first find the prime factorization of 81130 and 81140. After we will calculate the factors of 81130 and 81140 and find the biggest common factor number .

Step-1: Prime Factorization of 81130

Prime factors of 81130 are 2, 5, 7, 19, 61. Prime factorization of 81130 in exponential form is:

81130 = 2¹ × 5¹ × 7¹ × 19¹ × 61¹

Step-2: 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-3: Factors of 81130

List of positive integer factors of 81130 that divides 81130 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 61, 70, 95, 122, 133, 190, 266, 305, 427, 610, 665, 854, 1159, 1330, 2135, 2318, 4270, 5795, 8113, 11590, 16226, 40565

Step-4: Factors of 81140

List of positive integer factors of 81140 that divides 81130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81130 and 81140. The biggest common factor number is the GCF number.
So the greatest common factor 81130 and 81140 is 10.

Also check out the Least Common Multiple of 81130 and 81140