What is the Greatest Common Factor of 68292 and 68304?

Greatest common factor (GCF) of 68292 and 68304 is 12.

GCF(68292,68304) = 12

We will now calculate the prime factors of 68292 and 68304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68292 and 68304.

How to find the GCF of 68292 and 68304?

We will first find the prime factorization of 68292 and 68304. After we will calculate the factors of 68292 and 68304 and find the biggest common factor number .

Step-1: Prime Factorization of 68292

Prime factors of 68292 are 2, 3, 7, 271. Prime factorization of 68292 in exponential form is:

68292 = 2² × 3² × 7¹ × 271¹

Step-2: Prime Factorization of 68304

Prime factors of 68304 are 2, 3, 1423. Prime factorization of 68304 in exponential form is:

68304 = 2⁴ × 3¹ × 1423¹

Step-3: Factors of 68292

List of positive integer factors of 68292 that divides 68292 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 271, 542, 813, 1084, 1626, 1897, 2439, 3252, 3794, 4878, 5691, 7588, 9756, 11382, 17073, 22764, 34146

Step-4: Factors of 68304

List of positive integer factors of 68304 that divides 68292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1423, 2846, 4269, 5692, 8538, 11384, 17076, 22768, 34152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68292 and 68304. The biggest common factor number is the GCF number.
So the greatest common factor 68292 and 68304 is 12.

Also check out the Least Common Multiple of 68292 and 68304