What is the Greatest Common Factor of 74289 and 74307?

Greatest common factor (GCF) of 74289 and 74307 is 3.

GCF(74289,74307) = 3

We will now calculate the prime factors of 74289 and 74307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74289 and 74307.

How to find the GCF of 74289 and 74307?

We will first find the prime factorization of 74289 and 74307. After we will calculate the factors of 74289 and 74307 and find the biggest common factor number .

Step-1: Prime Factorization of 74289

Prime factors of 74289 are 3, 24763. Prime factorization of 74289 in exponential form is:

74289 = 3¹ × 24763¹

Step-2: Prime Factorization of 74307

Prime factors of 74307 are 3, 17, 31, 47. Prime factorization of 74307 in exponential form is:

74307 = 3¹ × 17¹ × 31¹ × 47¹

Step-3: Factors of 74289

List of positive integer factors of 74289 that divides 74289 without a remainder.

1, 3, 24763

Step-4: Factors of 74307

List of positive integer factors of 74307 that divides 74289 without a remainder.

1, 3, 17, 31, 47, 51, 93, 141, 527, 799, 1457, 1581, 2397, 4371, 24769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74289 and 74307. The biggest common factor number is the GCF number.
So the greatest common factor 74289 and 74307 is 3.

Also check out the Least Common Multiple of 74289 and 74307