What is the Greatest Common Factor of 33890 and 33907?

Greatest common factor (GCF) of 33890 and 33907 is 1.

GCF(33890,33907) = 1

We will now calculate the prime factors of 33890 and 33907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33890 and 33907.

How to find the GCF of 33890 and 33907?

We will first find the prime factorization of 33890 and 33907. After we will calculate the factors of 33890 and 33907 and find the biggest common factor number .

Step-1: Prime Factorization of 33890

Prime factors of 33890 are 2, 5, 3389. Prime factorization of 33890 in exponential form is:

33890 = 2¹ × 5¹ × 3389¹

Step-2: Prime Factorization of 33907

Prime factors of 33907 are 41, 827. Prime factorization of 33907 in exponential form is:

33907 = 41¹ × 827¹

Step-3: Factors of 33890

List of positive integer factors of 33890 that divides 33890 without a remainder.

1, 2, 5, 10, 3389, 6778, 16945

Step-4: Factors of 33907

List of positive integer factors of 33907 that divides 33890 without a remainder.

1, 41, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33890 and 33907. The biggest common factor number is the GCF number.
So the greatest common factor 33890 and 33907 is 1.

Also check out the Least Common Multiple of 33890 and 33907