What is the Greatest Common Factor of 19940 and 19952?

Greatest common factor (GCF) of 19940 and 19952 is 4.

GCF(19940,19952) = 4

We will now calculate the prime factors of 19940 and 19952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19940 and 19952.

How to find the GCF of 19940 and 19952?

We will first find the prime factorization of 19940 and 19952. After we will calculate the factors of 19940 and 19952 and find the biggest common factor number .

Step-1: Prime Factorization of 19940

Prime factors of 19940 are 2, 5, 997. Prime factorization of 19940 in exponential form is:

19940 = 2² × 5¹ × 997¹

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 19940

List of positive integer factors of 19940 that divides 19940 without a remainder.

1, 2, 4, 5, 10, 20, 997, 1994, 3988, 4985, 9970

Step-4: Factors of 19952

List of positive integer factors of 19952 that divides 19940 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 19940 and 19952. The biggest common factor number is the GCF number.
So the greatest common factor 19940 and 19952 is 4.

Also check out the Least Common Multiple of 19940 and 19952