What is the Greatest Common Factor of 74960 and 74966?

Greatest common factor (GCF) of 74960 and 74966 is 2.

GCF(74960,74966) = 2

We will now calculate the prime factors of 74960 and 74966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74960 and 74966.

How to find the GCF of 74960 and 74966?

We will first find the prime factorization of 74960 and 74966. After we will calculate the factors of 74960 and 74966 and find the biggest common factor number .

Step-1: Prime Factorization of 74960

Prime factors of 74960 are 2, 5, 937. Prime factorization of 74960 in exponential form is:

74960 = 2⁴ × 5¹ × 937¹

Step-2: Prime Factorization of 74966

Prime factors of 74966 are 2, 37483. Prime factorization of 74966 in exponential form is:

74966 = 2¹ × 37483¹

Step-3: Factors of 74960

List of positive integer factors of 74960 that divides 74960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 937, 1874, 3748, 4685, 7496, 9370, 14992, 18740, 37480

Step-4: Factors of 74966

List of positive integer factors of 74966 that divides 74960 without a remainder.

1, 2, 37483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74960 and 74966. The biggest common factor number is the GCF number.
So the greatest common factor 74960 and 74966 is 2.

Also check out the Least Common Multiple of 74960 and 74966