What is the Greatest Common Factor of 74505 and 74514?

Greatest common factor (GCF) of 74505 and 74514 is 3.

GCF(74505,74514) = 3

We will now calculate the prime factors of 74505 and 74514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74505 and 74514.

How to find the GCF of 74505 and 74514?

We will first find the prime factorization of 74505 and 74514. After we will calculate the factors of 74505 and 74514 and find the biggest common factor number .

Step-1: Prime Factorization of 74505

Prime factors of 74505 are 3, 5, 4967. Prime factorization of 74505 in exponential form is:

74505 = 3¹ × 5¹ × 4967¹

Step-2: Prime Factorization of 74514

Prime factors of 74514 are 2, 3, 11, 1129. Prime factorization of 74514 in exponential form is:

74514 = 2¹ × 3¹ × 11¹ × 1129¹

Step-3: Factors of 74505

List of positive integer factors of 74505 that divides 74505 without a remainder.

1, 3, 5, 15, 4967, 14901, 24835

Step-4: Factors of 74514

List of positive integer factors of 74514 that divides 74505 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1129, 2258, 3387, 6774, 12419, 24838, 37257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74505 and 74514. The biggest common factor number is the GCF number.
So the greatest common factor 74505 and 74514 is 3.

Also check out the Least Common Multiple of 74505 and 74514