What is the Greatest Common Factor of 77421 and 77436?

Greatest common factor (GCF) of 77421 and 77436 is 3.

GCF(77421,77436) = 3

We will now calculate the prime factors of 77421 and 77436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77421 and 77436.

How to find the GCF of 77421 and 77436?

We will first find the prime factorization of 77421 and 77436. After we will calculate the factors of 77421 and 77436 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77436

Prime factors of 77436 are 2, 3, 239. Prime factorization of 77436 in exponential form is:

77436 = 2² × 3⁴ × 239¹

Step-3: Factors of 77421

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

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

Step-4: Factors of 77436

List of positive integer factors of 77436 that divides 77421 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 239, 324, 478, 717, 956, 1434, 2151, 2868, 4302, 6453, 8604, 12906, 19359, 25812, 38718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77421 and 77436. The biggest common factor number is the GCF number.
So the greatest common factor 77421 and 77436 is 3.

Also check out the Least Common Multiple of 77421 and 77436