What is the Greatest Common Factor of 19952 and 19971?

Greatest common factor (GCF) of 19952 and 19971 is 1.

GCF(19952,19971) = 1

We will now calculate the prime factors of 19952 and 19971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19952 and 19971.

How to find the GCF of 19952 and 19971?

We will first find the prime factorization of 19952 and 19971. After we will calculate the factors of 19952 and 19971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19971

Prime factors of 19971 are 3, 7, 317. Prime factorization of 19971 in exponential form is:

19971 = 3² × 7¹ × 317¹

Step-3: Factors of 19952

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

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

Step-4: Factors of 19971

List of positive integer factors of 19971 that divides 19952 without a remainder.

1, 3, 7, 9, 21, 63, 317, 951, 2219, 2853, 6657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19952 and 19971. The biggest common factor number is the GCF number.
So the greatest common factor 19952 and 19971 is 1.

Also check out the Least Common Multiple of 19952 and 19971