What is the Greatest Common Factor of 82342 and 82350?

Greatest common factor (GCF) of 82342 and 82350 is 2.

GCF(82342,82350) = 2

We will now calculate the prime factors of 82342 and 82350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82342 and 82350.

How to find the GCF of 82342 and 82350?

We will first find the prime factorization of 82342 and 82350. After we will calculate the factors of 82342 and 82350 and find the biggest common factor number .

Step-1: Prime Factorization of 82342

Prime factors of 82342 are 2, 13, 3167. Prime factorization of 82342 in exponential form is:

82342 = 2¹ × 13¹ × 3167¹

Step-2: Prime Factorization of 82350

Prime factors of 82350 are 2, 3, 5, 61. Prime factorization of 82350 in exponential form is:

82350 = 2¹ × 3³ × 5² × 61¹

Step-3: Factors of 82342

List of positive integer factors of 82342 that divides 82342 without a remainder.

1, 2, 13, 26, 3167, 6334, 41171

Step-4: Factors of 82350

List of positive integer factors of 82350 that divides 82342 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 61, 75, 90, 122, 135, 150, 183, 225, 270, 305, 366, 450, 549, 610, 675, 915, 1098, 1350, 1525, 1647, 1830, 2745, 3050, 3294, 4575, 5490, 8235, 9150, 13725, 16470, 27450, 41175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82342 and 82350. The biggest common factor number is the GCF number.
So the greatest common factor 82342 and 82350 is 2.

Also check out the Least Common Multiple of 82342 and 82350