What is the Greatest Common Factor of 68278 and 68292?

Greatest common factor (GCF) of 68278 and 68292 is 14.

GCF(68278,68292) = 14

We will now calculate the prime factors of 68278 and 68292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68278 and 68292.

How to find the GCF of 68278 and 68292?

We will first find the prime factorization of 68278 and 68292. After we will calculate the factors of 68278 and 68292 and find the biggest common factor number .

Step-1: Prime Factorization of 68278

Prime factors of 68278 are 2, 7, 4877. Prime factorization of 68278 in exponential form is:

68278 = 2¹ × 7¹ × 4877¹

Step-2: 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-3: Factors of 68278

List of positive integer factors of 68278 that divides 68278 without a remainder.

1, 2, 7, 14, 4877, 9754, 34139

Step-4: Factors of 68292

List of positive integer factors of 68292 that divides 68278 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68278 and 68292. The biggest common factor number is the GCF number.
So the greatest common factor 68278 and 68292 is 14.

Also check out the Least Common Multiple of 68278 and 68292