What is the Greatest Common Factor of 66430 and 66445?

Greatest common factor (GCF) of 66430 and 66445 is 5.

GCF(66430,66445) = 5

We will now calculate the prime factors of 66430 and 66445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66430 and 66445.

How to find the GCF of 66430 and 66445?

We will first find the prime factorization of 66430 and 66445. After we will calculate the factors of 66430 and 66445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66445

Prime factors of 66445 are 5, 97, 137. Prime factorization of 66445 in exponential form is:

66445 = 5¹ × 97¹ × 137¹

Step-3: Factors of 66430

List of positive integer factors of 66430 that divides 66430 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

Step-4: Factors of 66445

List of positive integer factors of 66445 that divides 66430 without a remainder.

1, 5, 97, 137, 485, 685, 13289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66430 and 66445. The biggest common factor number is the GCF number.
So the greatest common factor 66430 and 66445 is 5.

Also check out the Least Common Multiple of 66430 and 66445