What is the Greatest Common Factor of 74508 and 74522?

Greatest common factor (GCF) of 74508 and 74522 is 14.

GCF(74508,74522) = 14

We will now calculate the prime factors of 74508 and 74522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74508 and 74522.

How to find the GCF of 74508 and 74522?

We will first find the prime factorization of 74508 and 74522. After we will calculate the factors of 74508 and 74522 and find the biggest common factor number .

Step-1: Prime Factorization of 74508

Prime factors of 74508 are 2, 3, 7, 887. Prime factorization of 74508 in exponential form is:

74508 = 2² × 3¹ × 7¹ × 887¹

Step-2: Prime Factorization of 74522

Prime factors of 74522 are 2, 7, 5323. Prime factorization of 74522 in exponential form is:

74522 = 2¹ × 7¹ × 5323¹

Step-3: Factors of 74508

List of positive integer factors of 74508 that divides 74508 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548, 5322, 6209, 10644, 12418, 18627, 24836, 37254

Step-4: Factors of 74522

List of positive integer factors of 74522 that divides 74508 without a remainder.

1, 2, 7, 14, 5323, 10646, 37261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74508 and 74522. The biggest common factor number is the GCF number.
So the greatest common factor 74508 and 74522 is 14.

Also check out the Least Common Multiple of 74508 and 74522