What is the Greatest Common Factor of 39972 and 39991?

Greatest common factor (GCF) of 39972 and 39991 is 1.

GCF(39972,39991) = 1

We will now calculate the prime factors of 39972 and 39991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39972 and 39991.

How to find the GCF of 39972 and 39991?

We will first find the prime factorization of 39972 and 39991. After we will calculate the factors of 39972 and 39991 and find the biggest common factor number .

Step-1: Prime Factorization of 39972

Prime factors of 39972 are 2, 3, 3331. Prime factorization of 39972 in exponential form is:

39972 = 2² × 3¹ × 3331¹

Step-2: Prime Factorization of 39991

Prime factors of 39991 are 7, 29, 197. Prime factorization of 39991 in exponential form is:

39991 = 7¹ × 29¹ × 197¹

Step-3: Factors of 39972

List of positive integer factors of 39972 that divides 39972 without a remainder.

1, 2, 3, 4, 6, 12, 3331, 6662, 9993, 13324, 19986

Step-4: Factors of 39991

List of positive integer factors of 39991 that divides 39972 without a remainder.

1, 7, 29, 197, 203, 1379, 5713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39972 and 39991. The biggest common factor number is the GCF number.
So the greatest common factor 39972 and 39991 is 1.

Also check out the Least Common Multiple of 39972 and 39991