What is the Greatest Common Factor of 74946 and 74950?

Greatest common factor (GCF) of 74946 and 74950 is 2.

GCF(74946,74950) = 2

We will now calculate the prime factors of 74946 and 74950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74946 and 74950.

How to find the GCF of 74946 and 74950?

We will first find the prime factorization of 74946 and 74950. After we will calculate the factors of 74946 and 74950 and find the biggest common factor number .

Step-1: Prime Factorization of 74946

Prime factors of 74946 are 2, 3, 12491. Prime factorization of 74946 in exponential form is:

74946 = 2¹ × 3¹ × 12491¹

Step-2: Prime Factorization of 74950

Prime factors of 74950 are 2, 5, 1499. Prime factorization of 74950 in exponential form is:

74950 = 2¹ × 5² × 1499¹

Step-3: Factors of 74946

List of positive integer factors of 74946 that divides 74946 without a remainder.

1, 2, 3, 6, 12491, 24982, 37473

Step-4: Factors of 74950

List of positive integer factors of 74950 that divides 74946 without a remainder.

1, 2, 5, 10, 25, 50, 1499, 2998, 7495, 14990, 37475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74946 and 74950. The biggest common factor number is the GCF number.
So the greatest common factor 74946 and 74950 is 2.

Also check out the Least Common Multiple of 74946 and 74950