What is the Greatest Common Factor of 77680 and 77699?

Greatest common factor (GCF) of 77680 and 77699 is 1.

GCF(77680,77699) = 1

We will now calculate the prime factors of 77680 and 77699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77680 and 77699.

How to find the GCF of 77680 and 77699?

We will first find the prime factorization of 77680 and 77699. After we will calculate the factors of 77680 and 77699 and find the biggest common factor number .

Step-1: Prime Factorization of 77680

Prime factors of 77680 are 2, 5, 971. Prime factorization of 77680 in exponential form is:

77680 = 2⁴ × 5¹ × 971¹

Step-2: Prime Factorization of 77699

Prime factors of 77699 are 77699. Prime factorization of 77699 in exponential form is:

77699 = 77699¹

Step-3: Factors of 77680

List of positive integer factors of 77680 that divides 77680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 971, 1942, 3884, 4855, 7768, 9710, 15536, 19420, 38840

Step-4: Factors of 77699

List of positive integer factors of 77699 that divides 77680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77680 and 77699. The biggest common factor number is the GCF number.
So the greatest common factor 77680 and 77699 is 1.

Also check out the Least Common Multiple of 77680 and 77699