What is the Greatest Common Factor of 32930 and 32935?

Greatest common factor (GCF) of 32930 and 32935 is 5.

GCF(32930,32935) = 5

We will now calculate the prime factors of 32930 and 32935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32930 and 32935.

How to find the GCF of 32930 and 32935?

We will first find the prime factorization of 32930 and 32935. After we will calculate the factors of 32930 and 32935 and find the biggest common factor number .

Step-1: Prime Factorization of 32930

Prime factors of 32930 are 2, 5, 37, 89. Prime factorization of 32930 in exponential form is:

32930 = 2¹ × 5¹ × 37¹ × 89¹

Step-2: Prime Factorization of 32935

Prime factors of 32935 are 5, 7, 941. Prime factorization of 32935 in exponential form is:

32935 = 5¹ × 7¹ × 941¹

Step-3: Factors of 32930

List of positive integer factors of 32930 that divides 32930 without a remainder.

1, 2, 5, 10, 37, 74, 89, 178, 185, 370, 445, 890, 3293, 6586, 16465

Step-4: Factors of 32935

List of positive integer factors of 32935 that divides 32930 without a remainder.

1, 5, 7, 35, 941, 4705, 6587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32930 and 32935. The biggest common factor number is the GCF number.
So the greatest common factor 32930 and 32935 is 5.

Also check out the Least Common Multiple of 32930 and 32935