What is the Greatest Common Factor of 29949 and 29967?

Greatest common factor (GCF) of 29949 and 29967 is 3.

GCF(29949,29967) = 3

We will now calculate the prime factors of 29949 and 29967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29949 and 29967.

How to find the GCF of 29949 and 29967?

We will first find the prime factorization of 29949 and 29967. After we will calculate the factors of 29949 and 29967 and find the biggest common factor number .

Step-1: Prime Factorization of 29949

Prime factors of 29949 are 3, 67, 149. Prime factorization of 29949 in exponential form is:

29949 = 3¹ × 67¹ × 149¹

Step-2: Prime Factorization of 29967

Prime factors of 29967 are 3, 7, 1427. Prime factorization of 29967 in exponential form is:

29967 = 3¹ × 7¹ × 1427¹

Step-3: Factors of 29949

List of positive integer factors of 29949 that divides 29949 without a remainder.

1, 3, 67, 149, 201, 447, 9983

Step-4: Factors of 29967

List of positive integer factors of 29967 that divides 29949 without a remainder.

1, 3, 7, 21, 1427, 4281, 9989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29949 and 29967. The biggest common factor number is the GCF number.
So the greatest common factor 29949 and 29967 is 3.

Also check out the Least Common Multiple of 29949 and 29967