What is the Greatest Common Factor of 77834 and 77848?

Greatest common factor (GCF) of 77834 and 77848 is 2.

GCF(77834,77848) = 2

We will now calculate the prime factors of 77834 and 77848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77834 and 77848.

How to find the GCF of 77834 and 77848?

We will first find the prime factorization of 77834 and 77848. After we will calculate the factors of 77834 and 77848 and find the biggest common factor number .

Step-1: Prime Factorization of 77834

Prime factors of 77834 are 2, 38917. Prime factorization of 77834 in exponential form is:

77834 = 2¹ × 38917¹

Step-2: Prime Factorization of 77848

Prime factors of 77848 are 2, 37, 263. Prime factorization of 77848 in exponential form is:

77848 = 2³ × 37¹ × 263¹

Step-3: Factors of 77834

List of positive integer factors of 77834 that divides 77834 without a remainder.

1, 2, 38917

Step-4: Factors of 77848

List of positive integer factors of 77848 that divides 77834 without a remainder.

1, 2, 4, 8, 37, 74, 148, 263, 296, 526, 1052, 2104, 9731, 19462, 38924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77834 and 77848. The biggest common factor number is the GCF number.
So the greatest common factor 77834 and 77848 is 2.

Also check out the Least Common Multiple of 77834 and 77848