What is the Greatest Common Factor of 77235 and 77254?

Greatest common factor (GCF) of 77235 and 77254 is 19.

GCF(77235,77254) = 19

We will now calculate the prime factors of 77235 and 77254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77235 and 77254.

How to find the GCF of 77235 and 77254?

We will first find the prime factorization of 77235 and 77254. After we will calculate the factors of 77235 and 77254 and find the biggest common factor number .

Step-1: Prime Factorization of 77235

Prime factors of 77235 are 3, 5, 19, 271. Prime factorization of 77235 in exponential form is:

77235 = 3¹ × 5¹ × 19¹ × 271¹

Step-2: Prime Factorization of 77254

Prime factors of 77254 are 2, 19, 107. Prime factorization of 77254 in exponential form is:

77254 = 2¹ × 19² × 107¹

Step-3: Factors of 77235

List of positive integer factors of 77235 that divides 77235 without a remainder.

1, 3, 5, 15, 19, 57, 95, 271, 285, 813, 1355, 4065, 5149, 15447, 25745

Step-4: Factors of 77254

List of positive integer factors of 77254 that divides 77235 without a remainder.

1, 2, 19, 38, 107, 214, 361, 722, 2033, 4066, 38627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77235 and 77254. The biggest common factor number is the GCF number.
So the greatest common factor 77235 and 77254 is 19.

Also check out the Least Common Multiple of 77235 and 77254