What is the Greatest Common Factor of 77738 and 77744?

Greatest common factor (GCF) of 77738 and 77744 is 2.

GCF(77738,77744) = 2

We will now calculate the prime factors of 77738 and 77744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77738 and 77744.

How to find the GCF of 77738 and 77744?

We will first find the prime factorization of 77738 and 77744. After we will calculate the factors of 77738 and 77744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77744

Prime factors of 77744 are 2, 43, 113. Prime factorization of 77744 in exponential form is:

77744 = 2⁴ × 43¹ × 113¹

Step-3: Factors of 77738

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

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

Step-4: Factors of 77744

List of positive integer factors of 77744 that divides 77738 without a remainder.

1, 2, 4, 8, 16, 43, 86, 113, 172, 226, 344, 452, 688, 904, 1808, 4859, 9718, 19436, 38872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77738 and 77744. The biggest common factor number is the GCF number.
So the greatest common factor 77738 and 77744 is 2.

Also check out the Least Common Multiple of 77738 and 77744