What is the Greatest Common Factor of 77707 and 77724?

Greatest common factor (GCF) of 77707 and 77724 is 17.

GCF(77707,77724) = 17

We will now calculate the prime factors of 77707 and 77724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77707 and 77724.

How to find the GCF of 77707 and 77724?

We will first find the prime factorization of 77707 and 77724. After we will calculate the factors of 77707 and 77724 and find the biggest common factor number .

Step-1: Prime Factorization of 77707

Prime factors of 77707 are 7, 17, 653. Prime factorization of 77707 in exponential form is:

77707 = 7¹ × 17¹ × 653¹

Step-2: Prime Factorization of 77724

Prime factors of 77724 are 2, 3, 17, 127. Prime factorization of 77724 in exponential form is:

77724 = 2² × 3² × 17¹ × 127¹

Step-3: Factors of 77707

List of positive integer factors of 77707 that divides 77707 without a remainder.

1, 7, 17, 119, 653, 4571, 11101

Step-4: Factors of 77724

List of positive integer factors of 77724 that divides 77707 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 127, 153, 204, 254, 306, 381, 508, 612, 762, 1143, 1524, 2159, 2286, 4318, 4572, 6477, 8636, 12954, 19431, 25908, 38862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77707 and 77724. The biggest common factor number is the GCF number.
So the greatest common factor 77707 and 77724 is 17.

Also check out the Least Common Multiple of 77707 and 77724