What is the Greatest Common Factor of 19892 and 19908?

Greatest common factor (GCF) of 19892 and 19908 is 4.

GCF(19892,19908) = 4

We will now calculate the prime factors of 19892 and 19908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19892 and 19908.

How to find the GCF of 19892 and 19908?

We will first find the prime factorization of 19892 and 19908. After we will calculate the factors of 19892 and 19908 and find the biggest common factor number .

Step-1: Prime Factorization of 19892

Prime factors of 19892 are 2, 4973. Prime factorization of 19892 in exponential form is:

19892 = 2² × 4973¹

Step-2: Prime Factorization of 19908

Prime factors of 19908 are 2, 3, 7, 79. Prime factorization of 19908 in exponential form is:

19908 = 2² × 3² × 7¹ × 79¹

Step-3: Factors of 19892

List of positive integer factors of 19892 that divides 19892 without a remainder.

1, 2, 4, 4973, 9946

Step-4: Factors of 19908

List of positive integer factors of 19908 that divides 19892 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 79, 84, 126, 158, 237, 252, 316, 474, 553, 711, 948, 1106, 1422, 1659, 2212, 2844, 3318, 4977, 6636, 9954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19892 and 19908. The biggest common factor number is the GCF number.
So the greatest common factor 19892 and 19908 is 4.

Also check out the Least Common Multiple of 19892 and 19908