What is the Greatest Common Factor of 68288 and 68292?

Greatest common factor (GCF) of 68288 and 68292 is 4.

GCF(68288,68292) = 4

We will now calculate the prime factors of 68288 and 68292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68288 and 68292.

How to find the GCF of 68288 and 68292?

We will first find the prime factorization of 68288 and 68292. After we will calculate the factors of 68288 and 68292 and find the biggest common factor number .

Step-1: Prime Factorization of 68288

Prime factors of 68288 are 2, 11, 97. Prime factorization of 68288 in exponential form is:

68288 = 2⁶ × 11¹ × 97¹

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 68288

List of positive integer factors of 68288 that divides 68288 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 97, 176, 194, 352, 388, 704, 776, 1067, 1552, 2134, 3104, 4268, 6208, 8536, 17072, 34144

Step-4: Factors of 68292

List of positive integer factors of 68292 that divides 68288 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 68288 and 68292. The biggest common factor number is the GCF number.
So the greatest common factor 68288 and 68292 is 4.

Also check out the Least Common Multiple of 68288 and 68292