What is the Greatest Common Factor of 84237 and 84252?

Greatest common factor (GCF) of 84237 and 84252 is 3.

GCF(84237,84252) = 3

We will now calculate the prime factors of 84237 and 84252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84237 and 84252.

How to find the GCF of 84237 and 84252?

We will first find the prime factorization of 84237 and 84252. After we will calculate the factors of 84237 and 84252 and find the biggest common factor number .

Step-1: Prime Factorization of 84237

Prime factors of 84237 are 3, 43, 653. Prime factorization of 84237 in exponential form is:

84237 = 3¹ × 43¹ × 653¹

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 84237

List of positive integer factors of 84237 that divides 84237 without a remainder.

1, 3, 43, 129, 653, 1959, 28079

Step-4: Factors of 84252

List of positive integer factors of 84252 that divides 84237 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 84237 and 84252. The biggest common factor number is the GCF number.
So the greatest common factor 84237 and 84252 is 3.

Also check out the Least Common Multiple of 84237 and 84252