What is the Greatest Common Factor of 19890 and 19907?

Greatest common factor (GCF) of 19890 and 19907 is 17.

GCF(19890,19907) = 17

We will now calculate the prime factors of 19890 and 19907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19890 and 19907.

How to find the GCF of 19890 and 19907?

We will first find the prime factorization of 19890 and 19907. After we will calculate the factors of 19890 and 19907 and find the biggest common factor number .

Step-1: Prime Factorization of 19890

Prime factors of 19890 are 2, 3, 5, 13, 17. Prime factorization of 19890 in exponential form is:

19890 = 2¹ × 3² × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 19907

Prime factors of 19907 are 17, 1171. Prime factorization of 19907 in exponential form is:

19907 = 17¹ × 1171¹

Step-3: Factors of 19890

List of positive integer factors of 19890 that divides 19890 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 26, 30, 34, 39, 45, 51, 65, 78, 85, 90, 102, 117, 130, 153, 170, 195, 221, 234, 255, 306, 390, 442, 510, 585, 663, 765, 1105, 1170, 1326, 1530, 1989, 2210, 3315, 3978, 6630, 9945

Step-4: Factors of 19907

List of positive integer factors of 19907 that divides 19890 without a remainder.

1, 17, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19890 and 19907. The biggest common factor number is the GCF number.
So the greatest common factor 19890 and 19907 is 17.

Also check out the Least Common Multiple of 19890 and 19907