What is the Greatest Common Factor of 79764 and 79777?

Greatest common factor (GCF) of 79764 and 79777 is 1.

GCF(79764,79777) = 1

We will now calculate the prime factors of 79764 and 79777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79764 and 79777.

How to find the GCF of 79764 and 79777?

We will first find the prime factorization of 79764 and 79777. After we will calculate the factors of 79764 and 79777 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 79777

Prime factors of 79777 are 79777. Prime factorization of 79777 in exponential form is:

79777 = 79777¹

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 79777

List of positive integer factors of 79777 that divides 79764 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79764 and 79777. The biggest common factor number is the GCF number.
So the greatest common factor 79764 and 79777 is 1.

Also check out the Least Common Multiple of 79764 and 79777