What is the Greatest Common Factor of 63238 and 63245?

Greatest common factor (GCF) of 63238 and 63245 is 7.

GCF(63238,63245) = 7

We will now calculate the prime factors of 63238 and 63245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63238 and 63245.

How to find the GCF of 63238 and 63245?

We will first find the prime factorization of 63238 and 63245. After we will calculate the factors of 63238 and 63245 and find the biggest common factor number .

Step-1: Prime Factorization of 63238

Prime factors of 63238 are 2, 7, 4517. Prime factorization of 63238 in exponential form is:

63238 = 2¹ × 7¹ × 4517¹

Step-2: 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-3: Factors of 63238

List of positive integer factors of 63238 that divides 63238 without a remainder.

1, 2, 7, 14, 4517, 9034, 31619

Step-4: Factors of 63245

List of positive integer factors of 63245 that divides 63238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63238 and 63245. The biggest common factor number is the GCF number.
So the greatest common factor 63238 and 63245 is 7.

Also check out the Least Common Multiple of 63238 and 63245