What is the Greatest Common Factor of 39963 and 39977?

Greatest common factor (GCF) of 39963 and 39977 is 7.

GCF(39963,39977) = 7

We will now calculate the prime factors of 39963 and 39977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39963 and 39977.

How to find the GCF of 39963 and 39977?

We will first find the prime factorization of 39963 and 39977. After we will calculate the factors of 39963 and 39977 and find the biggest common factor number .

Step-1: Prime Factorization of 39963

Prime factors of 39963 are 3, 7, 11, 173. Prime factorization of 39963 in exponential form is:

39963 = 3¹ × 7¹ × 11¹ × 173¹

Step-2: Prime Factorization of 39977

Prime factors of 39977 are 7, 5711. Prime factorization of 39977 in exponential form is:

39977 = 7¹ × 5711¹

Step-3: Factors of 39963

List of positive integer factors of 39963 that divides 39963 without a remainder.

1, 3, 7, 11, 21, 33, 77, 173, 231, 519, 1211, 1903, 3633, 5709, 13321

Step-4: Factors of 39977

List of positive integer factors of 39977 that divides 39963 without a remainder.

1, 7, 5711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39963 and 39977. The biggest common factor number is the GCF number.
So the greatest common factor 39963 and 39977 is 7.

Also check out the Least Common Multiple of 39963 and 39977