What is the Greatest Common Factor of 77909 and 77922?

Greatest common factor (GCF) of 77909 and 77922 is 13.

GCF(77909,77922) = 13

We will now calculate the prime factors of 77909 and 77922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77909 and 77922.

How to find the GCF of 77909 and 77922?

We will first find the prime factorization of 77909 and 77922. After we will calculate the factors of 77909 and 77922 and find the biggest common factor number .

Step-1: Prime Factorization of 77909

Prime factors of 77909 are 13, 461. Prime factorization of 77909 in exponential form is:

77909 = 13² × 461¹

Step-2: Prime Factorization of 77922

Prime factors of 77922 are 2, 3, 13, 37. Prime factorization of 77922 in exponential form is:

77922 = 2¹ × 3⁴ × 13¹ × 37¹

Step-3: Factors of 77909

List of positive integer factors of 77909 that divides 77909 without a remainder.

1, 13, 169, 461, 5993

Step-4: Factors of 77922

List of positive integer factors of 77922 that divides 77909 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 37, 39, 54, 74, 78, 81, 111, 117, 162, 222, 234, 333, 351, 481, 666, 702, 962, 999, 1053, 1443, 1998, 2106, 2886, 2997, 4329, 5994, 8658, 12987, 25974, 38961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77909 and 77922. The biggest common factor number is the GCF number.
So the greatest common factor 77909 and 77922 is 13.

Also check out the Least Common Multiple of 77909 and 77922