What is the Greatest Common Factor of 19876 and 19884?

Greatest common factor (GCF) of 19876 and 19884 is 4.

GCF(19876,19884) = 4

We will now calculate the prime factors of 19876 and 19884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19876 and 19884.

How to find the GCF of 19876 and 19884?

We will first find the prime factorization of 19876 and 19884. After we will calculate the factors of 19876 and 19884 and find the biggest common factor number .

Step-1: Prime Factorization of 19876

Prime factors of 19876 are 2, 4969. Prime factorization of 19876 in exponential form is:

19876 = 2² × 4969¹

Step-2: Prime Factorization of 19884

Prime factors of 19884 are 2, 3, 1657. Prime factorization of 19884 in exponential form is:

19884 = 2² × 3¹ × 1657¹

Step-3: Factors of 19876

List of positive integer factors of 19876 that divides 19876 without a remainder.

1, 2, 4, 4969, 9938

Step-4: Factors of 19884

List of positive integer factors of 19884 that divides 19876 without a remainder.

1, 2, 3, 4, 6, 12, 1657, 3314, 4971, 6628, 9942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19876 and 19884. The biggest common factor number is the GCF number.
So the greatest common factor 19876 and 19884 is 4.

Also check out the Least Common Multiple of 19876 and 19884