What is the Greatest Common Factor of 4350 and 4355?

Greatest common factor (GCF) of 4350 and 4355 is 5.

GCF(4350,4355) = 5

We will now calculate the prime factors of 4350 and 4355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4350 and 4355.

How to find the GCF of 4350 and 4355?

We will first find the prime factorization of 4350 and 4355. After we will calculate the factors of 4350 and 4355 and find the biggest common factor number .

Step-1: Prime Factorization of 4350

Prime factors of 4350 are 2, 3, 5, 29. Prime factorization of 4350 in exponential form is:

4350 = 2¹ × 3¹ × 5² × 29¹

Step-2: Prime Factorization of 4355

Prime factors of 4355 are 5, 13, 67. Prime factorization of 4355 in exponential form is:

4355 = 5¹ × 13¹ × 67¹

Step-3: Factors of 4350

List of positive integer factors of 4350 that divides 4350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 29, 30, 50, 58, 75, 87, 145, 150, 174, 290, 435, 725, 870, 1450, 2175

Step-4: Factors of 4355

List of positive integer factors of 4355 that divides 4350 without a remainder.

1, 5, 13, 65, 67, 335, 871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4350 and 4355. The biggest common factor number is the GCF number.
So the greatest common factor 4350 and 4355 is 5.

Also check out the Least Common Multiple of 4350 and 4355