What is the Greatest Common Factor of 77034 and 77044?

Greatest common factor (GCF) of 77034 and 77044 is 2.

GCF(77034,77044) = 2

We will now calculate the prime factors of 77034 and 77044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77034 and 77044.

How to find the GCF of 77034 and 77044?

We will first find the prime factorization of 77034 and 77044. After we will calculate the factors of 77034 and 77044 and find the biggest common factor number .

Step-1: Prime Factorization of 77034

Prime factors of 77034 are 2, 3, 37, 347. Prime factorization of 77034 in exponential form is:

77034 = 2¹ × 3¹ × 37¹ × 347¹

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 77034

List of positive integer factors of 77034 that divides 77034 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 347, 694, 1041, 2082, 12839, 25678, 38517

Step-4: Factors of 77044

List of positive integer factors of 77044 that divides 77034 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 77034 and 77044. The biggest common factor number is the GCF number.
So the greatest common factor 77034 and 77044 is 2.

Also check out the Least Common Multiple of 77034 and 77044