What is the Greatest Common Factor of 78869 and 78876?

Greatest common factor (GCF) of 78869 and 78876 is 7.

GCF(78869,78876) = 7

We will now calculate the prime factors of 78869 and 78876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78869 and 78876.

How to find the GCF of 78869 and 78876?

We will first find the prime factorization of 78869 and 78876. After we will calculate the factors of 78869 and 78876 and find the biggest common factor number .

Step-1: Prime Factorization of 78869

Prime factors of 78869 are 7, 19, 593. Prime factorization of 78869 in exponential form is:

78869 = 7¹ × 19¹ × 593¹

Step-2: Prime Factorization of 78876

Prime factors of 78876 are 2, 3, 7, 313. Prime factorization of 78876 in exponential form is:

78876 = 2² × 3² × 7¹ × 313¹

Step-3: Factors of 78869

List of positive integer factors of 78869 that divides 78869 without a remainder.

1, 7, 19, 133, 593, 4151, 11267

Step-4: Factors of 78876

List of positive integer factors of 78876 that divides 78869 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 313, 626, 939, 1252, 1878, 2191, 2817, 3756, 4382, 5634, 6573, 8764, 11268, 13146, 19719, 26292, 39438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78869 and 78876. The biggest common factor number is the GCF number.
So the greatest common factor 78869 and 78876 is 7.

Also check out the Least Common Multiple of 78869 and 78876