What is the Greatest Common Factor of 84252 and 84257?

Greatest common factor (GCF) of 84252 and 84257 is 1.

GCF(84252,84257) = 1

We will now calculate the prime factors of 84252 and 84257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84252 and 84257.

How to find the GCF of 84252 and 84257?

We will first find the prime factorization of 84252 and 84257. After we will calculate the factors of 84252 and 84257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84257

Prime factors of 84257 are 109, 773. Prime factorization of 84257 in exponential form is:

84257 = 109¹ × 773¹

Step-3: Factors of 84252

List of positive integer factors of 84252 that divides 84252 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

Step-4: Factors of 84257

List of positive integer factors of 84257 that divides 84252 without a remainder.

1, 109, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84252 and 84257. The biggest common factor number is the GCF number.
So the greatest common factor 84252 and 84257 is 1.

Also check out the Least Common Multiple of 84252 and 84257