What is the Greatest Common Factor of 84252 and 84271?

Greatest common factor (GCF) of 84252 and 84271 is 1.

GCF(84252,84271) = 1

We will now calculate the prime factors of 84252 and 84271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84252 and 84271.

How to find the GCF of 84252 and 84271?

We will first find the prime factorization of 84252 and 84271. After we will calculate the factors of 84252 and 84271 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 84271

Prime factors of 84271 are 11, 47, 163. Prime factorization of 84271 in exponential form is:

84271 = 11¹ × 47¹ × 163¹

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 84271

List of positive integer factors of 84271 that divides 84252 without a remainder.

1, 11, 47, 163, 517, 1793, 7661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84252 and 84271. The biggest common factor number is the GCF number.
So the greatest common factor 84252 and 84271 is 1.

Also check out the Least Common Multiple of 84252 and 84271