What is the Greatest Common Factor of 63225 and 63242?

Greatest common factor (GCF) of 63225 and 63242 is 1.

GCF(63225,63242) = 1

We will now calculate the prime factors of 63225 and 63242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63225 and 63242.

How to find the GCF of 63225 and 63242?

We will first find the prime factorization of 63225 and 63242. After we will calculate the factors of 63225 and 63242 and find the biggest common factor number .

Step-1: Prime Factorization of 63225

Prime factors of 63225 are 3, 5, 281. Prime factorization of 63225 in exponential form is:

63225 = 3² × 5² × 281¹

Step-2: Prime Factorization of 63242

Prime factors of 63242 are 2, 103, 307. Prime factorization of 63242 in exponential form is:

63242 = 2¹ × 103¹ × 307¹

Step-3: Factors of 63225

List of positive integer factors of 63225 that divides 63225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 281, 843, 1405, 2529, 4215, 7025, 12645, 21075

Step-4: Factors of 63242

List of positive integer factors of 63242 that divides 63225 without a remainder.

1, 2, 103, 206, 307, 614, 31621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63225 and 63242. The biggest common factor number is the GCF number.
So the greatest common factor 63225 and 63242 is 1.

Also check out the Least Common Multiple of 63225 and 63242