What is the Greatest Common Factor of 68272 and 68292?

Greatest common factor (GCF) of 68272 and 68292 is 4.

GCF(68272,68292) = 4

We will now calculate the prime factors of 68272 and 68292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68272 and 68292.

How to find the GCF of 68272 and 68292?

We will first find the prime factorization of 68272 and 68292. After we will calculate the factors of 68272 and 68292 and find the biggest common factor number .

Step-1: Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 2⁴ × 17¹ × 251¹

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 68272

List of positive integer factors of 68272 that divides 68272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 251, 272, 502, 1004, 2008, 4016, 4267, 8534, 17068, 34136

Step-4: Factors of 68292

List of positive integer factors of 68292 that divides 68272 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 68272 and 68292. The biggest common factor number is the GCF number.
So the greatest common factor 68272 and 68292 is 4.

Also check out the Least Common Multiple of 68272 and 68292