What is the Greatest Common Factor of 30690 and 30700?

Greatest common factor (GCF) of 30690 and 30700 is 10.

GCF(30690,30700) = 10

We will now calculate the prime factors of 30690 and 30700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30690 and 30700.

How to find the GCF of 30690 and 30700?

We will first find the prime factorization of 30690 and 30700. After we will calculate the factors of 30690 and 30700 and find the biggest common factor number .

Step-1: Prime Factorization of 30690

Prime factors of 30690 are 2, 3, 5, 11, 31. Prime factorization of 30690 in exponential form is:

30690 = 2¹ × 3² × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 30700

Prime factors of 30700 are 2, 5, 307. Prime factorization of 30700 in exponential form is:

30700 = 2² × 5² × 307¹

Step-3: Factors of 30690

List of positive integer factors of 30690 that divides 30690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 31, 33, 45, 55, 62, 66, 90, 93, 99, 110, 155, 165, 186, 198, 279, 310, 330, 341, 465, 495, 558, 682, 930, 990, 1023, 1395, 1705, 2046, 2790, 3069, 3410, 5115, 6138, 10230, 15345

Step-4: Factors of 30700

List of positive integer factors of 30700 that divides 30690 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 307, 614, 1228, 1535, 3070, 6140, 7675, 15350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30690 and 30700. The biggest common factor number is the GCF number.
So the greatest common factor 30690 and 30700 is 10.

Also check out the Least Common Multiple of 30690 and 30700