What is the Greatest Common Factor of 77434 and 77444?

Greatest common factor (GCF) of 77434 and 77444 is 2.

GCF(77434,77444) = 2

We will now calculate the prime factors of 77434 and 77444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77434 and 77444.

How to find the GCF of 77434 and 77444?

We will first find the prime factorization of 77434 and 77444. After we will calculate the factors of 77434 and 77444 and find the biggest common factor number .

Step-1: Prime Factorization of 77434

Prime factors of 77434 are 2, 7, 5531. Prime factorization of 77434 in exponential form is:

77434 = 2¹ × 7¹ × 5531¹

Step-2: Prime Factorization of 77444

Prime factors of 77444 are 2, 19, 1019. Prime factorization of 77444 in exponential form is:

77444 = 2² × 19¹ × 1019¹

Step-3: Factors of 77434

List of positive integer factors of 77434 that divides 77434 without a remainder.

1, 2, 7, 14, 5531, 11062, 38717

Step-4: Factors of 77444

List of positive integer factors of 77444 that divides 77434 without a remainder.

1, 2, 4, 19, 38, 76, 1019, 2038, 4076, 19361, 38722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77434 and 77444. The biggest common factor number is the GCF number.
So the greatest common factor 77434 and 77444 is 2.

Also check out the Least Common Multiple of 77434 and 77444