What is the Greatest Common Factor of 82350 and 82362?

Greatest common factor (GCF) of 82350 and 82362 is 6.

GCF(82350,82362) = 6

We will now calculate the prime factors of 82350 and 82362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82350 and 82362.

How to find the GCF of 82350 and 82362?

We will first find the prime factorization of 82350 and 82362. After we will calculate the factors of 82350 and 82362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82362

Prime factors of 82362 are 2, 3, 7, 37, 53. Prime factorization of 82362 in exponential form is:

82362 = 2¹ × 3¹ × 7¹ × 37¹ × 53¹

Step-3: Factors of 82350

List of positive integer factors of 82350 that divides 82350 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

Step-4: Factors of 82362

List of positive integer factors of 82362 that divides 82350 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 42, 53, 74, 106, 111, 159, 222, 259, 318, 371, 518, 742, 777, 1113, 1554, 1961, 2226, 3922, 5883, 11766, 13727, 27454, 41181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82350 and 82362. The biggest common factor number is the GCF number.
So the greatest common factor 82350 and 82362 is 6.

Also check out the Least Common Multiple of 82350 and 82362