What is the Greatest Common Factor of 79764 and 79778?

Greatest common factor (GCF) of 79764 and 79778 is 2.

GCF(79764,79778) = 2

We will now calculate the prime factors of 79764 and 79778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79764 and 79778.

How to find the GCF of 79764 and 79778?

We will first find the prime factorization of 79764 and 79778. After we will calculate the factors of 79764 and 79778 and find the biggest common factor number .

Step-1: Prime Factorization of 79764

Prime factors of 79764 are 2, 3, 17, 23. Prime factorization of 79764 in exponential form is:

79764 = 2² × 3¹ × 17² × 23¹

Step-2: Prime Factorization of 79778

Prime factors of 79778 are 2, 113, 353. Prime factorization of 79778 in exponential form is:

79778 = 2¹ × 113¹ × 353¹

Step-3: Factors of 79764

List of positive integer factors of 79764 that divides 79764 without a remainder.

1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 289, 391, 578, 782, 867, 1156, 1173, 1564, 1734, 2346, 3468, 4692, 6647, 13294, 19941, 26588, 39882

Step-4: Factors of 79778

List of positive integer factors of 79778 that divides 79764 without a remainder.

1, 2, 113, 226, 353, 706, 39889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79764 and 79778. The biggest common factor number is the GCF number.
So the greatest common factor 79764 and 79778 is 2.

Also check out the Least Common Multiple of 79764 and 79778