What is the Greatest Common Factor of 63406 and 63422?

Greatest common factor (GCF) of 63406 and 63422 is 2.

GCF(63406,63422) = 2

We will now calculate the prime factors of 63406 and 63422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63406 and 63422.

How to find the GCF of 63406 and 63422?

We will first find the prime factorization of 63406 and 63422. After we will calculate the factors of 63406 and 63422 and find the biggest common factor number .

Step-1: Prime Factorization of 63406

Prime factors of 63406 are 2, 7, 647. Prime factorization of 63406 in exponential form is:

63406 = 2¹ × 7² × 647¹

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 63406

List of positive integer factors of 63406 that divides 63406 without a remainder.

1, 2, 7, 14, 49, 98, 647, 1294, 4529, 9058, 31703

Step-4: Factors of 63422

List of positive integer factors of 63422 that divides 63406 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63406 and 63422. The biggest common factor number is the GCF number.
So the greatest common factor 63406 and 63422 is 2.

Also check out the Least Common Multiple of 63406 and 63422