What is the Greatest Common Factor of 66395 and 66402?

Greatest common factor (GCF) of 66395 and 66402 is 7.

GCF(66395,66402) = 7

We will now calculate the prime factors of 66395 and 66402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66395 and 66402.

How to find the GCF of 66395 and 66402?

We will first find the prime factorization of 66395 and 66402. After we will calculate the factors of 66395 and 66402 and find the biggest common factor number .

Step-1: Prime Factorization of 66395

Prime factors of 66395 are 5, 7, 271. Prime factorization of 66395 in exponential form is:

66395 = 5¹ × 7² × 271¹

Step-2: Prime Factorization of 66402

Prime factors of 66402 are 2, 3, 7, 17, 31. Prime factorization of 66402 in exponential form is:

66402 = 2¹ × 3² × 7¹ × 17¹ × 31¹

Step-3: Factors of 66395

List of positive integer factors of 66395 that divides 66395 without a remainder.

1, 5, 7, 35, 49, 245, 271, 1355, 1897, 9485, 13279

Step-4: Factors of 66402

List of positive integer factors of 66402 that divides 66395 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 31, 34, 42, 51, 62, 63, 93, 102, 119, 126, 153, 186, 217, 238, 279, 306, 357, 434, 527, 558, 651, 714, 1054, 1071, 1302, 1581, 1953, 2142, 3162, 3689, 3906, 4743, 7378, 9486, 11067, 22134, 33201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66395 and 66402. The biggest common factor number is the GCF number.
So the greatest common factor 66395 and 66402 is 7.

Also check out the Least Common Multiple of 66395 and 66402