What is the Greatest Common Factor of 77409 and 77421?

Greatest common factor (GCF) of 77409 and 77421 is 3.

GCF(77409,77421) = 3

We will now calculate the prime factors of 77409 and 77421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77409 and 77421.

How to find the GCF of 77409 and 77421?

We will first find the prime factorization of 77409 and 77421. After we will calculate the factors of 77409 and 77421 and find the biggest common factor number .

Step-1: Prime Factorization of 77409

Prime factors of 77409 are 3, 47, 61. Prime factorization of 77409 in exponential form is:

77409 = 3³ × 47¹ × 61¹

Step-2: Prime Factorization of 77421

Prime factors of 77421 are 3, 131, 197. Prime factorization of 77421 in exponential form is:

77421 = 3¹ × 131¹ × 197¹

Step-3: Factors of 77409

List of positive integer factors of 77409 that divides 77409 without a remainder.

1, 3, 9, 27, 47, 61, 141, 183, 423, 549, 1269, 1647, 2867, 8601, 25803

Step-4: Factors of 77421

List of positive integer factors of 77421 that divides 77409 without a remainder.

1, 3, 131, 197, 393, 591, 25807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77409 and 77421. The biggest common factor number is the GCF number.
So the greatest common factor 77409 and 77421 is 3.

Also check out the Least Common Multiple of 77409 and 77421