What is the Greatest Common Factor of 74440 and 74452?

Greatest common factor (GCF) of 74440 and 74452 is 4.

GCF(74440,74452) = 4

We will now calculate the prime factors of 74440 and 74452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74440 and 74452.

How to find the GCF of 74440 and 74452?

We will first find the prime factorization of 74440 and 74452. After we will calculate the factors of 74440 and 74452 and find the biggest common factor number .

Step-1: Prime Factorization of 74440

Prime factors of 74440 are 2, 5, 1861. Prime factorization of 74440 in exponential form is:

74440 = 2³ × 5¹ × 1861¹

Step-2: Prime Factorization of 74452

Prime factors of 74452 are 2, 7, 2659. Prime factorization of 74452 in exponential form is:

74452 = 2² × 7¹ × 2659¹

Step-3: Factors of 74440

List of positive integer factors of 74440 that divides 74440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1861, 3722, 7444, 9305, 14888, 18610, 37220

Step-4: Factors of 74452

List of positive integer factors of 74452 that divides 74440 without a remainder.

1, 2, 4, 7, 14, 28, 2659, 5318, 10636, 18613, 37226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74440 and 74452. The biggest common factor number is the GCF number.
So the greatest common factor 74440 and 74452 is 4.

Also check out the Least Common Multiple of 74440 and 74452