What is the Greatest Common Factor of 83214 and 83230?

Greatest common factor (GCF) of 83214 and 83230 is 2.

GCF(83214,83230) = 2

We will now calculate the prime factors of 83214 and 83230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83214 and 83230.

How to find the GCF of 83214 and 83230?

We will first find the prime factorization of 83214 and 83230. After we will calculate the factors of 83214 and 83230 and find the biggest common factor number .

Step-1: Prime Factorization of 83214

Prime factors of 83214 are 2, 3, 23, 67. Prime factorization of 83214 in exponential form is:

83214 = 2¹ × 3³ × 23¹ × 67¹

Step-2: Prime Factorization of 83230

Prime factors of 83230 are 2, 5, 7, 29, 41. Prime factorization of 83230 in exponential form is:

83230 = 2¹ × 5¹ × 7¹ × 29¹ × 41¹

Step-3: Factors of 83214

List of positive integer factors of 83214 that divides 83214 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 67, 69, 134, 138, 201, 207, 402, 414, 603, 621, 1206, 1242, 1541, 1809, 3082, 3618, 4623, 9246, 13869, 27738, 41607

Step-4: Factors of 83230

List of positive integer factors of 83230 that divides 83214 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 41, 58, 70, 82, 145, 203, 205, 287, 290, 406, 410, 574, 1015, 1189, 1435, 2030, 2378, 2870, 5945, 8323, 11890, 16646, 41615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83214 and 83230. The biggest common factor number is the GCF number.
So the greatest common factor 83214 and 83230 is 2.

Also check out the Least Common Multiple of 83214 and 83230