What is the Greatest Common Factor of 81130 and 81150?

Greatest common factor (GCF) of 81130 and 81150 is 10.

GCF(81130,81150) = 10

We will now calculate the prime factors of 81130 and 81150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81130 and 81150.

How to find the GCF of 81130 and 81150?

We will first find the prime factorization of 81130 and 81150. After we will calculate the factors of 81130 and 81150 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 81150

Prime factors of 81150 are 2, 3, 5, 541. Prime factorization of 81150 in exponential form is:

81150 = 2¹ × 3¹ × 5² × 541¹

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 81150

List of positive integer factors of 81150 that divides 81130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 541, 1082, 1623, 2705, 3246, 5410, 8115, 13525, 16230, 27050, 40575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81130 and 81150. The biggest common factor number is the GCF number.
So the greatest common factor 81130 and 81150 is 10.

Also check out the Least Common Multiple of 81130 and 81150