What is the Greatest Common Factor of 63505 and 63518?

Greatest common factor (GCF) of 63505 and 63518 is 13.

GCF(63505,63518) = 13

We will now calculate the prime factors of 63505 and 63518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63505 and 63518.

How to find the GCF of 63505 and 63518?

We will first find the prime factorization of 63505 and 63518. After we will calculate the factors of 63505 and 63518 and find the biggest common factor number .

Step-1: Prime Factorization of 63505

Prime factors of 63505 are 5, 13, 977. Prime factorization of 63505 in exponential form is:

63505 = 5¹ × 13¹ × 977¹

Step-2: Prime Factorization of 63518

Prime factors of 63518 are 2, 7, 13, 349. Prime factorization of 63518 in exponential form is:

63518 = 2¹ × 7¹ × 13¹ × 349¹

Step-3: Factors of 63505

List of positive integer factors of 63505 that divides 63505 without a remainder.

1, 5, 13, 65, 977, 4885, 12701

Step-4: Factors of 63518

List of positive integer factors of 63518 that divides 63505 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 349, 698, 2443, 4537, 4886, 9074, 31759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63505 and 63518. The biggest common factor number is the GCF number.
So the greatest common factor 63505 and 63518 is 13.

Also check out the Least Common Multiple of 63505 and 63518