What is the Greatest Common Factor of 70794 and 70813?

Greatest common factor (GCF) of 70794 and 70813 is 19.

GCF(70794,70813) = 19

We will now calculate the prime factors of 70794 and 70813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70794 and 70813.

How to find the GCF of 70794 and 70813?

We will first find the prime factorization of 70794 and 70813. After we will calculate the factors of 70794 and 70813 and find the biggest common factor number .

Step-1: Prime Factorization of 70794

Prime factors of 70794 are 2, 3, 19, 23. Prime factorization of 70794 in exponential form is:

70794 = 2¹ × 3⁴ × 19¹ × 23¹

Step-2: Prime Factorization of 70813

Prime factors of 70813 are 19, 3727. Prime factorization of 70813 in exponential form is:

70813 = 19¹ × 3727¹

Step-3: Factors of 70794

List of positive integer factors of 70794 that divides 70794 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 27, 38, 46, 54, 57, 69, 81, 114, 138, 162, 171, 207, 342, 414, 437, 513, 621, 874, 1026, 1242, 1311, 1539, 1863, 2622, 3078, 3726, 3933, 7866, 11799, 23598, 35397

Step-4: Factors of 70813

List of positive integer factors of 70813 that divides 70794 without a remainder.

1, 19, 3727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70794 and 70813. The biggest common factor number is the GCF number.
So the greatest common factor 70794 and 70813 is 19.

Also check out the Least Common Multiple of 70794 and 70813