What is the Greatest Common Factor of 19972 and 19988?

Greatest common factor (GCF) of 19972 and 19988 is 4.

GCF(19972,19988) = 4

We will now calculate the prime factors of 19972 and 19988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19972 and 19988.

How to find the GCF of 19972 and 19988?

We will first find the prime factorization of 19972 and 19988. After we will calculate the factors of 19972 and 19988 and find the biggest common factor number .

Step-1: Prime Factorization of 19972

Prime factors of 19972 are 2, 4993. Prime factorization of 19972 in exponential form is:

19972 = 2² × 4993¹

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 19972

List of positive integer factors of 19972 that divides 19972 without a remainder.

1, 2, 4, 4993, 9986

Step-4: Factors of 19988

List of positive integer factors of 19988 that divides 19972 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 19972 and 19988. The biggest common factor number is the GCF number.
So the greatest common factor 19972 and 19988 is 4.

Also check out the Least Common Multiple of 19972 and 19988