What is the Greatest Common Factor of 19947 and 19952?

Greatest common factor (GCF) of 19947 and 19952 is 1.

GCF(19947,19952) = 1

We will now calculate the prime factors of 19947 and 19952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19947 and 19952.

How to find the GCF of 19947 and 19952?

We will first find the prime factorization of 19947 and 19952. After we will calculate the factors of 19947 and 19952 and find the biggest common factor number .

Step-1: Prime Factorization of 19947

Prime factors of 19947 are 3, 61, 109. Prime factorization of 19947 in exponential form is:

19947 = 3¹ × 61¹ × 109¹

Step-2: Prime Factorization of 19952

Prime factors of 19952 are 2, 29, 43. Prime factorization of 19952 in exponential form is:

19952 = 2⁴ × 29¹ × 43¹

Step-3: Factors of 19947

List of positive integer factors of 19947 that divides 19947 without a remainder.

1, 3, 61, 109, 183, 327, 6649

Step-4: Factors of 19952

List of positive integer factors of 19952 that divides 19947 without a remainder.

1, 2, 4, 8, 16, 29, 43, 58, 86, 116, 172, 232, 344, 464, 688, 1247, 2494, 4988, 9976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19947 and 19952. The biggest common factor number is the GCF number.
So the greatest common factor 19947 and 19952 is 1.

Also check out the Least Common Multiple of 19947 and 19952