What is the Greatest Common Factor of 63430 and 63450?

Greatest common factor (GCF) of 63430 and 63450 is 10.

GCF(63430,63450) = 10

We will now calculate the prime factors of 63430 and 63450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63430 and 63450.

How to find the GCF of 63430 and 63450?

We will first find the prime factorization of 63430 and 63450. After we will calculate the factors of 63430 and 63450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63450

Prime factors of 63450 are 2, 3, 5, 47. Prime factorization of 63450 in exponential form is:

63450 = 2¹ × 3³ × 5² × 47¹

Step-3: Factors of 63430

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

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

Step-4: Factors of 63450

List of positive integer factors of 63450 that divides 63430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 47, 50, 54, 75, 90, 94, 135, 141, 150, 225, 235, 270, 282, 423, 450, 470, 675, 705, 846, 1175, 1269, 1350, 1410, 2115, 2350, 2538, 3525, 4230, 6345, 7050, 10575, 12690, 21150, 31725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63430 and 63450. The biggest common factor number is the GCF number.
So the greatest common factor 63430 and 63450 is 10.

Also check out the Least Common Multiple of 63430 and 63450