What is the Greatest Common Factor of 77436 and 77454?

Greatest common factor (GCF) of 77436 and 77454 is 18.

GCF(77436,77454) = 18

We will now calculate the prime factors of 77436 and 77454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77436 and 77454.

How to find the GCF of 77436 and 77454?

We will first find the prime factorization of 77436 and 77454. After we will calculate the factors of 77436 and 77454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77454

Prime factors of 77454 are 2, 3, 13, 331. Prime factorization of 77454 in exponential form is:

77454 = 2¹ × 3² × 13¹ × 331¹

Step-3: Factors of 77436

List of positive integer factors of 77436 that divides 77436 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

Step-4: Factors of 77454

List of positive integer factors of 77454 that divides 77436 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 331, 662, 993, 1986, 2979, 4303, 5958, 8606, 12909, 25818, 38727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77436 and 77454. The biggest common factor number is the GCF number.
So the greatest common factor 77436 and 77454 is 18.

Also check out the Least Common Multiple of 77436 and 77454