What is the Greatest Common Factor of 70878 and 70893?

Greatest common factor (GCF) of 70878 and 70893 is 3.

GCF(70878,70893) = 3

We will now calculate the prime factors of 70878 and 70893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70878 and 70893.

How to find the GCF of 70878 and 70893?

We will first find the prime factorization of 70878 and 70893. After we will calculate the factors of 70878 and 70893 and find the biggest common factor number .

Step-1: Prime Factorization of 70878

Prime factors of 70878 are 2, 3, 11813. Prime factorization of 70878 in exponential form is:

70878 = 2¹ × 3¹ × 11813¹

Step-2: Prime Factorization of 70893

Prime factors of 70893 are 3, 7877. Prime factorization of 70893 in exponential form is:

70893 = 3² × 7877¹

Step-3: Factors of 70878

List of positive integer factors of 70878 that divides 70878 without a remainder.

1, 2, 3, 6, 11813, 23626, 35439

Step-4: Factors of 70893

List of positive integer factors of 70893 that divides 70878 without a remainder.

1, 3, 9, 7877, 23631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70878 and 70893. The biggest common factor number is the GCF number.
So the greatest common factor 70878 and 70893 is 3.

Also check out the Least Common Multiple of 70878 and 70893