What is the Greatest Common Factor of 84252 and 84266?

Greatest common factor (GCF) of 84252 and 84266 is 14.

GCF(84252,84266) = 14

We will now calculate the prime factors of 84252 and 84266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84252 and 84266.

How to find the GCF of 84252 and 84266?

We will first find the prime factorization of 84252 and 84266. After we will calculate the factors of 84252 and 84266 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 84266

Prime factors of 84266 are 2, 7, 13, 463. Prime factorization of 84266 in exponential form is:

84266 = 2¹ × 7¹ × 13¹ × 463¹

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 84266

List of positive integer factors of 84266 that divides 84252 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 463, 926, 3241, 6019, 6482, 12038, 42133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84252 and 84266. The biggest common factor number is the GCF number.
So the greatest common factor 84252 and 84266 is 14.

Also check out the Least Common Multiple of 84252 and 84266