What is the Greatest Common Factor of 66416 and 66430?

Greatest common factor (GCF) of 66416 and 66430 is 14.

GCF(66416,66430) = 14

We will now calculate the prime factors of 66416 and 66430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66416 and 66430.

How to find the GCF of 66416 and 66430?

We will first find the prime factorization of 66416 and 66430. After we will calculate the factors of 66416 and 66430 and find the biggest common factor number .

Step-1: Prime Factorization of 66416

Prime factors of 66416 are 2, 7, 593. Prime factorization of 66416 in exponential form is:

66416 = 2⁴ × 7¹ × 593¹

Step-2: Prime Factorization of 66430

Prime factors of 66430 are 2, 5, 7, 13, 73. Prime factorization of 66430 in exponential form is:

66430 = 2¹ × 5¹ × 7¹ × 13¹ × 73¹

Step-3: Factors of 66416

List of positive integer factors of 66416 that divides 66416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 593, 1186, 2372, 4151, 4744, 8302, 9488, 16604, 33208

Step-4: Factors of 66430

List of positive integer factors of 66430 that divides 66416 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 73, 91, 130, 146, 182, 365, 455, 511, 730, 910, 949, 1022, 1898, 2555, 4745, 5110, 6643, 9490, 13286, 33215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66416 and 66430. The biggest common factor number is the GCF number.
So the greatest common factor 66416 and 66430 is 14.

Also check out the Least Common Multiple of 66416 and 66430