What is the Greatest Common Factor of 77744 and 77758?

Greatest common factor (GCF) of 77744 and 77758 is 2.

GCF(77744,77758) = 2

We will now calculate the prime factors of 77744 and 77758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77744 and 77758.

How to find the GCF of 77744 and 77758?

We will first find the prime factorization of 77744 and 77758. After we will calculate the factors of 77744 and 77758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77758

Prime factors of 77758 are 2, 17, 2287. Prime factorization of 77758 in exponential form is:

77758 = 2¹ × 17¹ × 2287¹

Step-3: Factors of 77744

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

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

Step-4: Factors of 77758

List of positive integer factors of 77758 that divides 77744 without a remainder.

1, 2, 17, 34, 2287, 4574, 38879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77744 and 77758. The biggest common factor number is the GCF number.
So the greatest common factor 77744 and 77758 is 2.

Also check out the Least Common Multiple of 77744 and 77758