What is the Greatest Common Factor of 84243 and 84252?

Greatest common factor (GCF) of 84243 and 84252 is 3.

GCF(84243,84252) = 3

We will now calculate the prime factors of 84243 and 84252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84243 and 84252.

How to find the GCF of 84243 and 84252?

We will first find the prime factorization of 84243 and 84252. After we will calculate the factors of 84243 and 84252 and find the biggest common factor number .

Step-1: Prime Factorization of 84243

Prime factors of 84243 are 3, 28081. Prime factorization of 84243 in exponential form is:

84243 = 3¹ × 28081¹

Step-2: Prime Factorization of 84252

Prime factors of 84252 are 2, 3, 7, 17, 59. Prime factorization of 84252 in exponential form is:

84252 = 2² × 3¹ × 7¹ × 17¹ × 59¹

Step-3: Factors of 84243

List of positive integer factors of 84243 that divides 84243 without a remainder.

1, 3, 28081

Step-4: Factors of 84252

List of positive integer factors of 84252 that divides 84243 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 59, 68, 84, 102, 118, 119, 177, 204, 236, 238, 354, 357, 413, 476, 708, 714, 826, 1003, 1239, 1428, 1652, 2006, 2478, 3009, 4012, 4956, 6018, 7021, 12036, 14042, 21063, 28084, 42126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84243 and 84252. The biggest common factor number is the GCF number.
So the greatest common factor 84243 and 84252 is 3.

Also check out the Least Common Multiple of 84243 and 84252