What is the Greatest Common Factor of 4216 and 4225?

Greatest common factor (GCF) of 4216 and 4225 is 1.

GCF(4216,4225) = 1

We will now calculate the prime factors of 4216 and 4225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4216 and 4225.

How to find the GCF of 4216 and 4225?

We will first find the prime factorization of 4216 and 4225. After we will calculate the factors of 4216 and 4225 and find the biggest common factor number .

Step-1: Prime Factorization of 4216

Prime factors of 4216 are 2, 17, 31. Prime factorization of 4216 in exponential form is:

4216 = 2³ × 17¹ × 31¹

Step-2: Prime Factorization of 4225

Prime factors of 4225 are 5, 13. Prime factorization of 4225 in exponential form is:

4225 = 5² × 13²

Step-3: Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108

Step-4: Factors of 4225

List of positive integer factors of 4225 that divides 4216 without a remainder.

1, 5, 13, 25, 65, 169, 325, 845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4216 and 4225. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4225 is 1.

Also check out the Least Common Multiple of 4216 and 4225