What is the Greatest Common Factor of 74943 and 74949?

Greatest common factor (GCF) of 74943 and 74949 is 3.

GCF(74943,74949) = 3

We will now calculate the prime factors of 74943 and 74949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74943 and 74949.

How to find the GCF of 74943 and 74949?

We will first find the prime factorization of 74943 and 74949. After we will calculate the factors of 74943 and 74949 and find the biggest common factor number .

Step-1: Prime Factorization of 74943

Prime factors of 74943 are 3, 11, 757. Prime factorization of 74943 in exponential form is:

74943 = 3² × 11¹ × 757¹

Step-2: Prime Factorization of 74949

Prime factors of 74949 are 3, 7, 43, 83. Prime factorization of 74949 in exponential form is:

74949 = 3¹ × 7¹ × 43¹ × 83¹

Step-3: Factors of 74943

List of positive integer factors of 74943 that divides 74943 without a remainder.

1, 3, 9, 11, 33, 99, 757, 2271, 6813, 8327, 24981

Step-4: Factors of 74949

List of positive integer factors of 74949 that divides 74943 without a remainder.

1, 3, 7, 21, 43, 83, 129, 249, 301, 581, 903, 1743, 3569, 10707, 24983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74943 and 74949. The biggest common factor number is the GCF number.
So the greatest common factor 74943 and 74949 is 3.

Also check out the Least Common Multiple of 74943 and 74949