What is the Greatest Common Factor of 19880 and 19894?

Greatest common factor (GCF) of 19880 and 19894 is 14.

GCF(19880,19894) = 14

We will now calculate the prime factors of 19880 and 19894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19880 and 19894.

How to find the GCF of 19880 and 19894?

We will first find the prime factorization of 19880 and 19894. After we will calculate the factors of 19880 and 19894 and find the biggest common factor number .

Step-1: Prime Factorization of 19880

Prime factors of 19880 are 2, 5, 7, 71. Prime factorization of 19880 in exponential form is:

19880 = 2³ × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 19894

Prime factors of 19894 are 2, 7, 29. Prime factorization of 19894 in exponential form is:

19894 = 2¹ × 7³ × 29¹

Step-3: Factors of 19880

List of positive integer factors of 19880 that divides 19880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 71, 140, 142, 280, 284, 355, 497, 568, 710, 994, 1420, 1988, 2485, 2840, 3976, 4970, 9940

Step-4: Factors of 19894

List of positive integer factors of 19894 that divides 19880 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 343, 406, 686, 1421, 2842, 9947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19880 and 19894. The biggest common factor number is the GCF number.
So the greatest common factor 19880 and 19894 is 14.

Also check out the Least Common Multiple of 19880 and 19894