What is the Greatest Common Factor of 63474 and 63478?

Greatest common factor (GCF) of 63474 and 63478 is 2.

GCF(63474,63478) = 2

We will now calculate the prime factors of 63474 and 63478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63474 and 63478.

How to find the GCF of 63474 and 63478?

We will first find the prime factorization of 63474 and 63478. After we will calculate the factors of 63474 and 63478 and find the biggest common factor number .

Step-1: Prime Factorization of 63474

Prime factors of 63474 are 2, 3, 71, 149. Prime factorization of 63474 in exponential form is:

63474 = 2¹ × 3¹ × 71¹ × 149¹

Step-2: Prime Factorization of 63478

Prime factors of 63478 are 2, 17, 1867. Prime factorization of 63478 in exponential form is:

63478 = 2¹ × 17¹ × 1867¹

Step-3: Factors of 63474

List of positive integer factors of 63474 that divides 63474 without a remainder.

1, 2, 3, 6, 71, 142, 149, 213, 298, 426, 447, 894, 10579, 21158, 31737

Step-4: Factors of 63478

List of positive integer factors of 63478 that divides 63474 without a remainder.

1, 2, 17, 34, 1867, 3734, 31739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63474 and 63478. The biggest common factor number is the GCF number.
So the greatest common factor 63474 and 63478 is 2.

Also check out the Least Common Multiple of 63474 and 63478