What is the Greatest Common Factor of 30702 and 30714?

Greatest common factor (GCF) of 30702 and 30714 is 6.

GCF(30702,30714) = 6

We will now calculate the prime factors of 30702 and 30714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30702 and 30714.

How to find the GCF of 30702 and 30714?

We will first find the prime factorization of 30702 and 30714. After we will calculate the factors of 30702 and 30714 and find the biggest common factor number .

Step-1: Prime Factorization of 30702

Prime factors of 30702 are 2, 3, 7, 17, 43. Prime factorization of 30702 in exponential form is:

30702 = 2¹ × 3¹ × 7¹ × 17¹ × 43¹

Step-2: Prime Factorization of 30714

Prime factors of 30714 are 2, 3, 5119. Prime factorization of 30714 in exponential form is:

30714 = 2¹ × 3¹ × 5119¹

Step-3: Factors of 30702

List of positive integer factors of 30702 that divides 30702 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 43, 51, 86, 102, 119, 129, 238, 258, 301, 357, 602, 714, 731, 903, 1462, 1806, 2193, 4386, 5117, 10234, 15351

Step-4: Factors of 30714

List of positive integer factors of 30714 that divides 30702 without a remainder.

1, 2, 3, 6, 5119, 10238, 15357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30702 and 30714. The biggest common factor number is the GCF number.
So the greatest common factor 30702 and 30714 is 6.

Also check out the Least Common Multiple of 30702 and 30714