What is the Greatest Common Factor of 63253 and 63273?

Greatest common factor (GCF) of 63253 and 63273 is 1.

GCF(63253,63273) = 1

We will now calculate the prime factors of 63253 and 63273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63253 and 63273.

How to find the GCF of 63253 and 63273?

We will first find the prime factorization of 63253 and 63273. After we will calculate the factors of 63253 and 63273 and find the biggest common factor number .

Step-1: Prime Factorization of 63253

Prime factors of 63253 are 43, 1471. Prime factorization of 63253 in exponential form is:

63253 = 43¹ × 1471¹

Step-2: Prime Factorization of 63273

Prime factors of 63273 are 3, 7, 23, 131. Prime factorization of 63273 in exponential form is:

63273 = 3¹ × 7¹ × 23¹ × 131¹

Step-3: Factors of 63253

List of positive integer factors of 63253 that divides 63253 without a remainder.

1, 43, 1471

Step-4: Factors of 63273

List of positive integer factors of 63273 that divides 63253 without a remainder.

1, 3, 7, 21, 23, 69, 131, 161, 393, 483, 917, 2751, 3013, 9039, 21091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63253 and 63273. The biggest common factor number is the GCF number.
So the greatest common factor 63253 and 63273 is 1.

Also check out the Least Common Multiple of 63253 and 63273