What is the Greatest Common Factor of 77038 and 77044?

Greatest common factor (GCF) of 77038 and 77044 is 2.

GCF(77038,77044) = 2

We will now calculate the prime factors of 77038 and 77044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77038 and 77044.

How to find the GCF of 77038 and 77044?

We will first find the prime factorization of 77038 and 77044. After we will calculate the factors of 77038 and 77044 and find the biggest common factor number .

Step-1: Prime Factorization of 77038

Prime factors of 77038 are 2, 13, 2963. Prime factorization of 77038 in exponential form is:

77038 = 2¹ × 13¹ × 2963¹

Step-2: Prime Factorization of 77044

Prime factors of 77044 are 2, 11, 17, 103. Prime factorization of 77044 in exponential form is:

77044 = 2² × 11¹ × 17¹ × 103¹

Step-3: Factors of 77038

List of positive integer factors of 77038 that divides 77038 without a remainder.

1, 2, 13, 26, 2963, 5926, 38519

Step-4: Factors of 77044

List of positive integer factors of 77044 that divides 77038 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 103, 187, 206, 374, 412, 748, 1133, 1751, 2266, 3502, 4532, 7004, 19261, 38522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77038 and 77044. The biggest common factor number is the GCF number.
So the greatest common factor 77038 and 77044 is 2.

Also check out the Least Common Multiple of 77038 and 77044