What is the Greatest Common Factor of 66352 and 66365?

Greatest common factor (GCF) of 66352 and 66365 is 13.

GCF(66352,66365) = 13

We will now calculate the prime factors of 66352 and 66365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66352 and 66365.

How to find the GCF of 66352 and 66365?

We will first find the prime factorization of 66352 and 66365. After we will calculate the factors of 66352 and 66365 and find the biggest common factor number .

Step-1: Prime Factorization of 66352

Prime factors of 66352 are 2, 11, 13, 29. Prime factorization of 66352 in exponential form is:

66352 = 2⁴ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 66365

Prime factors of 66365 are 5, 13, 1021. Prime factorization of 66365 in exponential form is:

66365 = 5¹ × 13¹ × 1021¹

Step-3: Factors of 66352

List of positive integer factors of 66352 that divides 66352 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 176, 208, 232, 286, 319, 377, 464, 572, 638, 754, 1144, 1276, 1508, 2288, 2552, 3016, 4147, 5104, 6032, 8294, 16588, 33176

Step-4: Factors of 66365

List of positive integer factors of 66365 that divides 66352 without a remainder.

1, 5, 13, 65, 1021, 5105, 13273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66352 and 66365. The biggest common factor number is the GCF number.
So the greatest common factor 66352 and 66365 is 13.

Also check out the Least Common Multiple of 66352 and 66365