What is the Greatest Common Factor of 76826 and 76832?

Greatest common factor (GCF) of 76826 and 76832 is 2.

GCF(76826,76832) = 2

We will now calculate the prime factors of 76826 and 76832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76826 and 76832.

How to find the GCF of 76826 and 76832?

We will first find the prime factorization of 76826 and 76832. After we will calculate the factors of 76826 and 76832 and find the biggest common factor number .

Step-1: Prime Factorization of 76826

Prime factors of 76826 are 2, 107, 359. Prime factorization of 76826 in exponential form is:

76826 = 2¹ × 107¹ × 359¹

Step-2: Prime Factorization of 76832

Prime factors of 76832 are 2, 7. Prime factorization of 76832 in exponential form is:

76832 = 2⁵ × 7⁴

Step-3: Factors of 76826

List of positive integer factors of 76826 that divides 76826 without a remainder.

1, 2, 107, 214, 359, 718, 38413

Step-4: Factors of 76832

List of positive integer factors of 76832 that divides 76826 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 343, 392, 686, 784, 1372, 1568, 2401, 2744, 4802, 5488, 9604, 10976, 19208, 38416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76826 and 76832. The biggest common factor number is the GCF number.
So the greatest common factor 76826 and 76832 is 2.

Also check out the Least Common Multiple of 76826 and 76832