What is the Greatest Common Factor of 68670 and 68676?

Greatest common factor (GCF) of 68670 and 68676 is 6.

GCF(68670,68676) = 6

We will now calculate the prime factors of 68670 and 68676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68670 and 68676.

How to find the GCF of 68670 and 68676?

We will first find the prime factorization of 68670 and 68676. After we will calculate the factors of 68670 and 68676 and find the biggest common factor number .

Step-1: Prime Factorization of 68670

Prime factors of 68670 are 2, 3, 5, 7, 109. Prime factorization of 68670 in exponential form is:

68670 = 2¹ × 3² × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 68676

Prime factors of 68676 are 2, 3, 59, 97. Prime factorization of 68676 in exponential form is:

68676 = 2² × 3¹ × 59¹ × 97¹

Step-3: Factors of 68670

List of positive integer factors of 68670 that divides 68670 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 109, 126, 210, 218, 315, 327, 545, 630, 654, 763, 981, 1090, 1526, 1635, 1962, 2289, 3270, 3815, 4578, 4905, 6867, 7630, 9810, 11445, 13734, 22890, 34335

Step-4: Factors of 68676

List of positive integer factors of 68676 that divides 68670 without a remainder.

1, 2, 3, 4, 6, 12, 59, 97, 118, 177, 194, 236, 291, 354, 388, 582, 708, 1164, 5723, 11446, 17169, 22892, 34338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68670 and 68676. The biggest common factor number is the GCF number.
So the greatest common factor 68670 and 68676 is 6.

Also check out the Least Common Multiple of 68670 and 68676