What is the Greatest Common Factor of 63498 and 63518?

Greatest common factor (GCF) of 63498 and 63518 is 2.

GCF(63498,63518) = 2

We will now calculate the prime factors of 63498 and 63518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63498 and 63518.

How to find the GCF of 63498 and 63518?

We will first find the prime factorization of 63498 and 63518. After we will calculate the factors of 63498 and 63518 and find the biggest common factor number .

Step-1: Prime Factorization of 63498

Prime factors of 63498 are 2, 3, 19, 557. Prime factorization of 63498 in exponential form is:

63498 = 2¹ × 3¹ × 19¹ × 557¹

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 63498

List of positive integer factors of 63498 that divides 63498 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 557, 1114, 1671, 3342, 10583, 21166, 31749

Step-4: Factors of 63518

List of positive integer factors of 63518 that divides 63498 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 63498 and 63518. The biggest common factor number is the GCF number.
So the greatest common factor 63498 and 63518 is 2.

Also check out the Least Common Multiple of 63498 and 63518