What is the Greatest Common Factor of 78815 and 78826?

Greatest common factor (GCF) of 78815 and 78826 is 11.

GCF(78815,78826) = 11

We will now calculate the prime factors of 78815 and 78826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78815 and 78826.

How to find the GCF of 78815 and 78826?

We will first find the prime factorization of 78815 and 78826. After we will calculate the factors of 78815 and 78826 and find the biggest common factor number .

Step-1: Prime Factorization of 78815

Prime factors of 78815 are 5, 11, 1433. Prime factorization of 78815 in exponential form is:

78815 = 5¹ × 11¹ × 1433¹

Step-2: Prime Factorization of 78826

Prime factors of 78826 are 2, 11, 3583. Prime factorization of 78826 in exponential form is:

78826 = 2¹ × 11¹ × 3583¹

Step-3: Factors of 78815

List of positive integer factors of 78815 that divides 78815 without a remainder.

1, 5, 11, 55, 1433, 7165, 15763

Step-4: Factors of 78826

List of positive integer factors of 78826 that divides 78815 without a remainder.

1, 2, 11, 22, 3583, 7166, 39413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78815 and 78826. The biggest common factor number is the GCF number.
So the greatest common factor 78815 and 78826 is 11.

Also check out the Least Common Multiple of 78815 and 78826