What is the Greatest Common Factor of 77634 and 77654?

Greatest common factor (GCF) of 77634 and 77654 is 2.

GCF(77634,77654) = 2

We will now calculate the prime factors of 77634 and 77654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77634 and 77654.

How to find the GCF of 77634 and 77654?

We will first find the prime factorization of 77634 and 77654. After we will calculate the factors of 77634 and 77654 and find the biggest common factor number .

Step-1: Prime Factorization of 77634

Prime factors of 77634 are 2, 3, 19, 227. Prime factorization of 77634 in exponential form is:

77634 = 2¹ × 3² × 19¹ × 227¹

Step-2: Prime Factorization of 77654

Prime factors of 77654 are 2, 41, 947. Prime factorization of 77654 in exponential form is:

77654 = 2¹ × 41¹ × 947¹

Step-3: Factors of 77634

List of positive integer factors of 77634 that divides 77634 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 227, 342, 454, 681, 1362, 2043, 4086, 4313, 8626, 12939, 25878, 38817

Step-4: Factors of 77654

List of positive integer factors of 77654 that divides 77634 without a remainder.

1, 2, 41, 82, 947, 1894, 38827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77634 and 77654. The biggest common factor number is the GCF number.
So the greatest common factor 77634 and 77654 is 2.

Also check out the Least Common Multiple of 77634 and 77654