What is the Greatest Common Factor of 63403 and 63422?

Greatest common factor (GCF) of 63403 and 63422 is 19.

GCF(63403,63422) = 19

We will now calculate the prime factors of 63403 and 63422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63403 and 63422.

How to find the GCF of 63403 and 63422?

We will first find the prime factorization of 63403 and 63422. After we will calculate the factors of 63403 and 63422 and find the biggest common factor number .

Step-1: Prime Factorization of 63403

Prime factors of 63403 are 19, 47, 71. Prime factorization of 63403 in exponential form is:

63403 = 19¹ × 47¹ × 71¹

Step-2: Prime Factorization of 63422

Prime factors of 63422 are 2, 19, 1669. Prime factorization of 63422 in exponential form is:

63422 = 2¹ × 19¹ × 1669¹

Step-3: Factors of 63403

List of positive integer factors of 63403 that divides 63403 without a remainder.

1, 19, 47, 71, 893, 1349, 3337

Step-4: Factors of 63422

List of positive integer factors of 63422 that divides 63403 without a remainder.

1, 2, 19, 38, 1669, 3338, 31711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63403 and 63422. The biggest common factor number is the GCF number.
So the greatest common factor 63403 and 63422 is 19.

Also check out the Least Common Multiple of 63403 and 63422