What is the Greatest Common Factor of 82140 and 82150?

Greatest common factor (GCF) of 82140 and 82150 is 10.

GCF(82140,82150) = 10

We will now calculate the prime factors of 82140 and 82150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82140 and 82150.

How to find the GCF of 82140 and 82150?

We will first find the prime factorization of 82140 and 82150. After we will calculate the factors of 82140 and 82150 and find the biggest common factor number .

Step-1: Prime Factorization of 82140

Prime factors of 82140 are 2, 3, 5, 37. Prime factorization of 82140 in exponential form is:

82140 = 2² × 3¹ × 5¹ × 37²

Step-2: Prime Factorization of 82150

Prime factors of 82150 are 2, 5, 31, 53. Prime factorization of 82150 in exponential form is:

82150 = 2¹ × 5² × 31¹ × 53¹

Step-3: Factors of 82140

List of positive integer factors of 82140 that divides 82140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 1369, 2220, 2738, 4107, 5476, 6845, 8214, 13690, 16428, 20535, 27380, 41070

Step-4: Factors of 82150

List of positive integer factors of 82150 that divides 82140 without a remainder.

1, 2, 5, 10, 25, 31, 50, 53, 62, 106, 155, 265, 310, 530, 775, 1325, 1550, 1643, 2650, 3286, 8215, 16430, 41075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82140 and 82150. The biggest common factor number is the GCF number.
So the greatest common factor 82140 and 82150 is 10.

Also check out the Least Common Multiple of 82140 and 82150