What is the Greatest Common Factor of 63213 and 63223?

Greatest common factor (GCF) of 63213 and 63223 is 1.

GCF(63213,63223) = 1

We will now calculate the prime factors of 63213 and 63223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63213 and 63223.

How to find the GCF of 63213 and 63223?

We will first find the prime factorization of 63213 and 63223. After we will calculate the factors of 63213 and 63223 and find the biggest common factor number .

Step-1: Prime Factorization of 63213

Prime factors of 63213 are 3, 19, 1109. Prime factorization of 63213 in exponential form is:

63213 = 3¹ × 19¹ × 1109¹

Step-2: Prime Factorization of 63223

Prime factors of 63223 are 17, 3719. Prime factorization of 63223 in exponential form is:

63223 = 17¹ × 3719¹

Step-3: Factors of 63213

List of positive integer factors of 63213 that divides 63213 without a remainder.

1, 3, 19, 57, 1109, 3327, 21071

Step-4: Factors of 63223

List of positive integer factors of 63223 that divides 63213 without a remainder.

1, 17, 3719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63213 and 63223. The biggest common factor number is the GCF number.
So the greatest common factor 63213 and 63223 is 1.

Also check out the Least Common Multiple of 63213 and 63223