What is the Greatest Common Factor of 77438 and 77456?

Greatest common factor (GCF) of 77438 and 77456 is 2.

GCF(77438,77456) = 2

We will now calculate the prime factors of 77438 and 77456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77438 and 77456.

How to find the GCF of 77438 and 77456?

We will first find the prime factorization of 77438 and 77456. After we will calculate the factors of 77438 and 77456 and find the biggest common factor number .

Step-1: Prime Factorization of 77438

Prime factors of 77438 are 2, 31, 1249. Prime factorization of 77438 in exponential form is:

77438 = 2¹ × 31¹ × 1249¹

Step-2: Prime Factorization of 77456

Prime factors of 77456 are 2, 47, 103. Prime factorization of 77456 in exponential form is:

77456 = 2⁴ × 47¹ × 103¹

Step-3: Factors of 77438

List of positive integer factors of 77438 that divides 77438 without a remainder.

1, 2, 31, 62, 1249, 2498, 38719

Step-4: Factors of 77456

List of positive integer factors of 77456 that divides 77438 without a remainder.

1, 2, 4, 8, 16, 47, 94, 103, 188, 206, 376, 412, 752, 824, 1648, 4841, 9682, 19364, 38728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77438 and 77456. The biggest common factor number is the GCF number.
So the greatest common factor 77438 and 77456 is 2.

Also check out the Least Common Multiple of 77438 and 77456