What is the Greatest Common Factor of 68607 and 68622?

Greatest common factor (GCF) of 68607 and 68622 is 3.

GCF(68607,68622) = 3

We will now calculate the prime factors of 68607 and 68622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68607 and 68622.

How to find the GCF of 68607 and 68622?

We will first find the prime factorization of 68607 and 68622. After we will calculate the factors of 68607 and 68622 and find the biggest common factor number .

Step-1: Prime Factorization of 68607

Prime factors of 68607 are 3, 7, 11. Prime factorization of 68607 in exponential form is:

68607 = 3⁴ × 7¹ × 11²

Step-2: Prime Factorization of 68622

Prime factors of 68622 are 2, 3, 11437. Prime factorization of 68622 in exponential form is:

68622 = 2¹ × 3¹ × 11437¹

Step-3: Factors of 68607

List of positive integer factors of 68607 that divides 68607 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 121, 189, 231, 297, 363, 567, 693, 847, 891, 1089, 2079, 2541, 3267, 6237, 7623, 9801, 22869

Step-4: Factors of 68622

List of positive integer factors of 68622 that divides 68607 without a remainder.

1, 2, 3, 6, 11437, 22874, 34311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68607 and 68622. The biggest common factor number is the GCF number.
So the greatest common factor 68607 and 68622 is 3.

Also check out the Least Common Multiple of 68607 and 68622