What is the Greatest Common Factor of 4221 and 4235?

Greatest common factor (GCF) of 4221 and 4235 is 7.

GCF(4221,4235) = 7

We will now calculate the prime factors of 4221 and 4235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4221 and 4235.

How to find the GCF of 4221 and 4235?

We will first find the prime factorization of 4221 and 4235. After we will calculate the factors of 4221 and 4235 and find the biggest common factor number .

Step-1: Prime Factorization of 4221

Prime factors of 4221 are 3, 7, 67. Prime factorization of 4221 in exponential form is:

4221 = 3² × 7¹ × 67¹

Step-2: Prime Factorization of 4235

Prime factors of 4235 are 5, 7, 11. Prime factorization of 4235 in exponential form is:

4235 = 5¹ × 7¹ × 11²

Step-3: Factors of 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407

Step-4: Factors of 4235

List of positive integer factors of 4235 that divides 4221 without a remainder.

1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4221 and 4235. The biggest common factor number is the GCF number.
So the greatest common factor 4221 and 4235 is 7.

Also check out the Least Common Multiple of 4221 and 4235