What is the Greatest Common Factor of 49965 and 49974?

Greatest common factor (GCF) of 49965 and 49974 is 3.

GCF(49965,49974) = 3

We will now calculate the prime factors of 49965 and 49974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49965 and 49974.

How to find the GCF of 49965 and 49974?

We will first find the prime factorization of 49965 and 49974. After we will calculate the factors of 49965 and 49974 and find the biggest common factor number .

Step-1: Prime Factorization of 49965

Prime factors of 49965 are 3, 5, 3331. Prime factorization of 49965 in exponential form is:

49965 = 3¹ × 5¹ × 3331¹

Step-2: Prime Factorization of 49974

Prime factors of 49974 are 2, 3, 8329. Prime factorization of 49974 in exponential form is:

49974 = 2¹ × 3¹ × 8329¹

Step-3: Factors of 49965

List of positive integer factors of 49965 that divides 49965 without a remainder.

1, 3, 5, 15, 3331, 9993, 16655

Step-4: Factors of 49974

List of positive integer factors of 49974 that divides 49965 without a remainder.

1, 2, 3, 6, 8329, 16658, 24987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49965 and 49974. The biggest common factor number is the GCF number.
So the greatest common factor 49965 and 49974 is 3.

Also check out the Least Common Multiple of 49965 and 49974