What is the Greatest Common Factor of 30700 and 30713?

Greatest common factor (GCF) of 30700 and 30713 is 1.

GCF(30700,30713) = 1

We will now calculate the prime factors of 30700 and 30713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30700 and 30713.

How to find the GCF of 30700 and 30713?

We will first find the prime factorization of 30700 and 30713. After we will calculate the factors of 30700 and 30713 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30713

Prime factors of 30713 are 30713. Prime factorization of 30713 in exponential form is:

30713 = 30713¹

Step-3: Factors of 30700

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

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

Step-4: Factors of 30713

List of positive integer factors of 30713 that divides 30700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30700 and 30713. The biggest common factor number is the GCF number.
So the greatest common factor 30700 and 30713 is 1.

Also check out the Least Common Multiple of 30700 and 30713