What is the Greatest Common Factor of 19880 and 19887?

Greatest common factor (GCF) of 19880 and 19887 is 7.

GCF(19880,19887) = 7

We will now calculate the prime factors of 19880 and 19887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19880 and 19887.

How to find the GCF of 19880 and 19887?

We will first find the prime factorization of 19880 and 19887. After we will calculate the factors of 19880 and 19887 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 19887

Prime factors of 19887 are 3, 7, 947. Prime factorization of 19887 in exponential form is:

19887 = 3¹ × 7¹ × 947¹

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 19887

List of positive integer factors of 19887 that divides 19880 without a remainder.

1, 3, 7, 21, 947, 2841, 6629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19880 and 19887. The biggest common factor number is the GCF number.
So the greatest common factor 19880 and 19887 is 7.

Also check out the Least Common Multiple of 19880 and 19887