What is the Greatest Common Factor of 39949 and 39963?

Greatest common factor (GCF) of 39949 and 39963 is 7.

GCF(39949,39963) = 7

We will now calculate the prime factors of 39949 and 39963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39949 and 39963.

How to find the GCF of 39949 and 39963?

We will first find the prime factorization of 39949 and 39963. After we will calculate the factors of 39949 and 39963 and find the biggest common factor number .

Step-1: Prime Factorization of 39949

Prime factors of 39949 are 7, 13, 439. Prime factorization of 39949 in exponential form is:

39949 = 7¹ × 13¹ × 439¹

Step-2: 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-3: Factors of 39949

List of positive integer factors of 39949 that divides 39949 without a remainder.

1, 7, 13, 91, 439, 3073, 5707

Step-4: Factors of 39963

List of positive integer factors of 39963 that divides 39949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39949 and 39963. The biggest common factor number is the GCF number.
So the greatest common factor 39949 and 39963 is 7.

Also check out the Least Common Multiple of 39949 and 39963