What is the Greatest Common Factor of 32090 and 32104?

Greatest common factor (GCF) of 32090 and 32104 is 2.

GCF(32090,32104) = 2

We will now calculate the prime factors of 32090 and 32104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32090 and 32104.

How to find the GCF of 32090 and 32104?

We will first find the prime factorization of 32090 and 32104. After we will calculate the factors of 32090 and 32104 and find the biggest common factor number .

Step-1: Prime Factorization of 32090

Prime factors of 32090 are 2, 5, 3209. Prime factorization of 32090 in exponential form is:

32090 = 2¹ × 5¹ × 3209¹

Step-2: Prime Factorization of 32104

Prime factors of 32104 are 2, 4013. Prime factorization of 32104 in exponential form is:

32104 = 2³ × 4013¹

Step-3: Factors of 32090

List of positive integer factors of 32090 that divides 32090 without a remainder.

1, 2, 5, 10, 3209, 6418, 16045

Step-4: Factors of 32104

List of positive integer factors of 32104 that divides 32090 without a remainder.

1, 2, 4, 8, 4013, 8026, 16052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32090 and 32104. The biggest common factor number is the GCF number.
So the greatest common factor 32090 and 32104 is 2.

Also check out the Least Common Multiple of 32090 and 32104