What is the Greatest Common Factor of 46410 and 46430?

Greatest common factor (GCF) of 46410 and 46430 is 10.

GCF(46410,46430) = 10

We will now calculate the prime factors of 46410 and 46430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46410 and 46430.

How to find the GCF of 46410 and 46430?

We will first find the prime factorization of 46410 and 46430. After we will calculate the factors of 46410 and 46430 and find the biggest common factor number .

Step-1: Prime Factorization of 46410

Prime factors of 46410 are 2, 3, 5, 7, 13, 17. Prime factorization of 46410 in exponential form is:

46410 = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 46430

Prime factors of 46430 are 2, 5, 4643. Prime factorization of 46430 in exponential form is:

46430 = 2¹ × 5¹ × 4643¹

Step-3: Factors of 46410

List of positive integer factors of 46410 that divides 46410 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 17, 21, 26, 30, 34, 35, 39, 42, 51, 65, 70, 78, 85, 91, 102, 105, 119, 130, 170, 182, 195, 210, 221, 238, 255, 273, 357, 390, 442, 455, 510, 546, 595, 663, 714, 910, 1105, 1190, 1326, 1365, 1547, 1785, 2210, 2730, 3094, 3315, 3570, 4641, 6630, 7735, 9282, 15470, 23205

Step-4: Factors of 46430

List of positive integer factors of 46430 that divides 46410 without a remainder.

1, 2, 5, 10, 4643, 9286, 23215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46410 and 46430. The biggest common factor number is the GCF number.
So the greatest common factor 46410 and 46430 is 10.

Also check out the Least Common Multiple of 46410 and 46430