What is the Greatest Common Factor of 63410 and 63430?

Greatest common factor (GCF) of 63410 and 63430 is 10.

GCF(63410,63430) = 10

We will now calculate the prime factors of 63410 and 63430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63410 and 63430.

How to find the GCF of 63410 and 63430?

We will first find the prime factorization of 63410 and 63430. After we will calculate the factors of 63410 and 63430 and find the biggest common factor number .

Step-1: Prime Factorization of 63410

Prime factors of 63410 are 2, 5, 17, 373. Prime factorization of 63410 in exponential form is:

63410 = 2¹ × 5¹ × 17¹ × 373¹

Step-2: Prime Factorization of 63430

Prime factors of 63430 are 2, 5, 6343. Prime factorization of 63430 in exponential form is:

63430 = 2¹ × 5¹ × 6343¹

Step-3: Factors of 63410

List of positive integer factors of 63410 that divides 63410 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 373, 746, 1865, 3730, 6341, 12682, 31705

Step-4: Factors of 63430

List of positive integer factors of 63430 that divides 63410 without a remainder.

1, 2, 5, 10, 6343, 12686, 31715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63410 and 63430. The biggest common factor number is the GCF number.
So the greatest common factor 63410 and 63430 is 10.

Also check out the Least Common Multiple of 63410 and 63430