What is the Greatest Common Factor of 77630 and 77634?

Greatest common factor (GCF) of 77630 and 77634 is 2.

GCF(77630,77634) = 2

We will now calculate the prime factors of 77630 and 77634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77630 and 77634.

How to find the GCF of 77630 and 77634?

We will first find the prime factorization of 77630 and 77634. After we will calculate the factors of 77630 and 77634 and find the biggest common factor number .

Step-1: Prime Factorization of 77630

Prime factors of 77630 are 2, 5, 7, 1109. Prime factorization of 77630 in exponential form is:

77630 = 2¹ × 5¹ × 7¹ × 1109¹

Step-2: 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-3: Factors of 77630

List of positive integer factors of 77630 that divides 77630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1109, 2218, 5545, 7763, 11090, 15526, 38815

Step-4: Factors of 77634

List of positive integer factors of 77634 that divides 77630 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77630 and 77634. The biggest common factor number is the GCF number.
So the greatest common factor 77630 and 77634 is 2.

Also check out the Least Common Multiple of 77630 and 77634