What is the Greatest Common Factor of 77724 and 77738?

Greatest common factor (GCF) of 77724 and 77738 is 2.

GCF(77724,77738) = 2

We will now calculate the prime factors of 77724 and 77738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77724 and 77738.

How to find the GCF of 77724 and 77738?

We will first find the prime factorization of 77724 and 77738. After we will calculate the factors of 77724 and 77738 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77738

Prime factors of 77738 are 2, 47, 827. Prime factorization of 77738 in exponential form is:

77738 = 2¹ × 47¹ × 827¹

Step-3: Factors of 77724

List of positive integer factors of 77724 that divides 77724 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

Step-4: Factors of 77738

List of positive integer factors of 77738 that divides 77724 without a remainder.

1, 2, 47, 94, 827, 1654, 38869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77724 and 77738. The biggest common factor number is the GCF number.
So the greatest common factor 77724 and 77738 is 2.

Also check out the Least Common Multiple of 77724 and 77738