What is the Greatest Common Factor of 68810 and 68824?

Greatest common factor (GCF) of 68810 and 68824 is 14.

GCF(68810,68824) = 14

We will now calculate the prime factors of 68810 and 68824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68810 and 68824.

How to find the GCF of 68810 and 68824?

We will first find the prime factorization of 68810 and 68824. After we will calculate the factors of 68810 and 68824 and find the biggest common factor number .

Step-1: Prime Factorization of 68810

Prime factors of 68810 are 2, 5, 7, 983. Prime factorization of 68810 in exponential form is:

68810 = 2¹ × 5¹ × 7¹ × 983¹

Step-2: Prime Factorization of 68824

Prime factors of 68824 are 2, 7, 1229. Prime factorization of 68824 in exponential form is:

68824 = 2³ × 7¹ × 1229¹

Step-3: Factors of 68810

List of positive integer factors of 68810 that divides 68810 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 983, 1966, 4915, 6881, 9830, 13762, 34405

Step-4: Factors of 68824

List of positive integer factors of 68824 that divides 68810 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1229, 2458, 4916, 8603, 9832, 17206, 34412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68810 and 68824. The biggest common factor number is the GCF number.
So the greatest common factor 68810 and 68824 is 14.

Also check out the Least Common Multiple of 68810 and 68824