What is the Greatest Common Factor of 77235 and 77253?

Greatest common factor (GCF) of 77235 and 77253 is 3.

GCF(77235,77253) = 3

We will now calculate the prime factors of 77235 and 77253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77235 and 77253.

How to find the GCF of 77235 and 77253?

We will first find the prime factorization of 77235 and 77253. After we will calculate the factors of 77235 and 77253 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 77253

Prime factors of 77253 are 3, 11, 2341. Prime factorization of 77253 in exponential form is:

77253 = 3¹ × 11¹ × 2341¹

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 77253

List of positive integer factors of 77253 that divides 77235 without a remainder.

1, 3, 11, 33, 2341, 7023, 25751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77235 and 77253. The biggest common factor number is the GCF number.
So the greatest common factor 77235 and 77253 is 3.

Also check out the Least Common Multiple of 77235 and 77253