What is the Greatest Common Factor of 47949 and 47967?

Greatest common factor (GCF) of 47949 and 47967 is 3.

GCF(47949,47967) = 3

We will now calculate the prime factors of 47949 and 47967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47949 and 47967.

How to find the GCF of 47949 and 47967?

We will first find the prime factorization of 47949 and 47967. After we will calculate the factors of 47949 and 47967 and find the biggest common factor number .

Step-1: Prime Factorization of 47949

Prime factors of 47949 are 3, 11, 1453. Prime factorization of 47949 in exponential form is:

47949 = 3¹ × 11¹ × 1453¹

Step-2: Prime Factorization of 47967

Prime factors of 47967 are 3, 59, 271. Prime factorization of 47967 in exponential form is:

47967 = 3¹ × 59¹ × 271¹

Step-3: Factors of 47949

List of positive integer factors of 47949 that divides 47949 without a remainder.

1, 3, 11, 33, 1453, 4359, 15983

Step-4: Factors of 47967

List of positive integer factors of 47967 that divides 47949 without a remainder.

1, 3, 59, 177, 271, 813, 15989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47949 and 47967. The biggest common factor number is the GCF number.
So the greatest common factor 47949 and 47967 is 3.

Also check out the Least Common Multiple of 47949 and 47967