What is the Greatest Common Factor of 63245 and 63253?

Greatest common factor (GCF) of 63245 and 63253 is 1.

GCF(63245,63253) = 1

We will now calculate the prime factors of 63245 and 63253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63245 and 63253.

How to find the GCF of 63245 and 63253?

We will first find the prime factorization of 63245 and 63253. After we will calculate the factors of 63245 and 63253 and find the biggest common factor number .

Step-1: Prime Factorization of 63245

Prime factors of 63245 are 5, 7, 13, 139. Prime factorization of 63245 in exponential form is:

63245 = 5¹ × 7¹ × 13¹ × 139¹

Step-2: Prime Factorization of 63253

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

63253 = 43¹ × 1471¹

Step-3: Factors of 63245

List of positive integer factors of 63245 that divides 63245 without a remainder.

1, 5, 7, 13, 35, 65, 91, 139, 455, 695, 973, 1807, 4865, 9035, 12649

Step-4: Factors of 63253

List of positive integer factors of 63253 that divides 63245 without a remainder.

1, 43, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63245 and 63253. The biggest common factor number is the GCF number.
So the greatest common factor 63245 and 63253 is 1.

Also check out the Least Common Multiple of 63245 and 63253