What is the Greatest Common Factor of 83214 and 83225?

Greatest common factor (GCF) of 83214 and 83225 is 1.

GCF(83214,83225) = 1

We will now calculate the prime factors of 83214 and 83225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83214 and 83225.

How to find the GCF of 83214 and 83225?

We will first find the prime factorization of 83214 and 83225. After we will calculate the factors of 83214 and 83225 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 83225

Prime factors of 83225 are 5, 3329. Prime factorization of 83225 in exponential form is:

83225 = 5² × 3329¹

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 83225

List of positive integer factors of 83225 that divides 83214 without a remainder.

1, 5, 25, 3329, 16645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83214 and 83225. The biggest common factor number is the GCF number.
So the greatest common factor 83214 and 83225 is 1.

Also check out the Least Common Multiple of 83214 and 83225