What is the Greatest Common Factor of 74949 and 74958?

Greatest common factor (GCF) of 74949 and 74958 is 3.

GCF(74949,74958) = 3

We will now calculate the prime factors of 74949 and 74958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74949 and 74958.

How to find the GCF of 74949 and 74958?

We will first find the prime factorization of 74949 and 74958. After we will calculate the factors of 74949 and 74958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74958

Prime factors of 74958 are 2, 3, 13, 31. Prime factorization of 74958 in exponential form is:

74958 = 2¹ × 3¹ × 13¹ × 31²

Step-3: Factors of 74949

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

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

Step-4: Factors of 74958

List of positive integer factors of 74958 that divides 74949 without a remainder.

1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 961, 1209, 1922, 2418, 2883, 5766, 12493, 24986, 37479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74949 and 74958. The biggest common factor number is the GCF number.
So the greatest common factor 74949 and 74958 is 3.

Also check out the Least Common Multiple of 74949 and 74958