What is the Greatest Common Factor of 84252 and 84264?

Greatest common factor (GCF) of 84252 and 84264 is 12.

GCF(84252,84264) = 12

We will now calculate the prime factors of 84252 and 84264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84252 and 84264.

How to find the GCF of 84252 and 84264?

We will first find the prime factorization of 84252 and 84264. After we will calculate the factors of 84252 and 84264 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 84264

Prime factors of 84264 are 2, 3, 3511. Prime factorization of 84264 in exponential form is:

84264 = 2³ × 3¹ × 3511¹

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 84264

List of positive integer factors of 84264 that divides 84252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3511, 7022, 10533, 14044, 21066, 28088, 42132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84252 and 84264. The biggest common factor number is the GCF number.
So the greatest common factor 84252 and 84264 is 12.

Also check out the Least Common Multiple of 84252 and 84264