What is the Greatest Common Factor of 74944 and 74960?

Greatest common factor (GCF) of 74944 and 74960 is 16.

GCF(74944,74960) = 16

We will now calculate the prime factors of 74944 and 74960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74944 and 74960.

How to find the GCF of 74944 and 74960?

We will first find the prime factorization of 74944 and 74960. After we will calculate the factors of 74944 and 74960 and find the biggest common factor number .

Step-1: Prime Factorization of 74944

Prime factors of 74944 are 2, 1171. Prime factorization of 74944 in exponential form is:

74944 = 2⁶ × 1171¹

Step-2: 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-3: Factors of 74944

List of positive integer factors of 74944 that divides 74944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1171, 2342, 4684, 9368, 18736, 37472

Step-4: Factors of 74960

List of positive integer factors of 74960 that divides 74944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74944 and 74960. The biggest common factor number is the GCF number.
So the greatest common factor 74944 and 74960 is 16.

Also check out the Least Common Multiple of 74944 and 74960