What is the Greatest Common Factor of 19978 and 19988?

Greatest common factor (GCF) of 19978 and 19988 is 2.

GCF(19978,19988) = 2

We will now calculate the prime factors of 19978 and 19988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19978 and 19988.

How to find the GCF of 19978 and 19988?

We will first find the prime factorization of 19978 and 19988. After we will calculate the factors of 19978 and 19988 and find the biggest common factor number .

Step-1: Prime Factorization of 19978

Prime factors of 19978 are 2, 7, 1427. Prime factorization of 19978 in exponential form is:

19978 = 2¹ × 7¹ × 1427¹

Step-2: Prime Factorization of 19988

Prime factors of 19988 are 2, 19, 263. Prime factorization of 19988 in exponential form is:

19988 = 2² × 19¹ × 263¹

Step-3: Factors of 19978

List of positive integer factors of 19978 that divides 19978 without a remainder.

1, 2, 7, 14, 1427, 2854, 9989

Step-4: Factors of 19988

List of positive integer factors of 19988 that divides 19978 without a remainder.

1, 2, 4, 19, 38, 76, 263, 526, 1052, 4997, 9994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19978 and 19988. The biggest common factor number is the GCF number.
So the greatest common factor 19978 and 19988 is 2.

Also check out the Least Common Multiple of 19978 and 19988