What is the Greatest Common Factor of 68229 and 68236?

Greatest common factor (GCF) of 68229 and 68236 is 7.

GCF(68229,68236) = 7

We will now calculate the prime factors of 68229 and 68236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68229 and 68236.

How to find the GCF of 68229 and 68236?

We will first find the prime factorization of 68229 and 68236. After we will calculate the factors of 68229 and 68236 and find the biggest common factor number .

Step-1: Prime Factorization of 68229

Prime factors of 68229 are 3, 7, 19. Prime factorization of 68229 in exponential form is:

68229 = 3³ × 7¹ × 19²

Step-2: Prime Factorization of 68236

Prime factors of 68236 are 2, 7, 2437. Prime factorization of 68236 in exponential form is:

68236 = 2² × 7¹ × 2437¹

Step-3: Factors of 68229

List of positive integer factors of 68229 that divides 68229 without a remainder.

1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 361, 399, 513, 1083, 1197, 2527, 3249, 3591, 7581, 9747, 22743

Step-4: Factors of 68236

List of positive integer factors of 68236 that divides 68229 without a remainder.

1, 2, 4, 7, 14, 28, 2437, 4874, 9748, 17059, 34118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68229 and 68236. The biggest common factor number is the GCF number.
So the greatest common factor 68229 and 68236 is 7.

Also check out the Least Common Multiple of 68229 and 68236