What is the Greatest Common Factor of 74277 and 74289?

Greatest common factor (GCF) of 74277 and 74289 is 3.

GCF(74277,74289) = 3

We will now calculate the prime factors of 74277 and 74289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74277 and 74289.

How to find the GCF of 74277 and 74289?

We will first find the prime factorization of 74277 and 74289. After we will calculate the factors of 74277 and 74289 and find the biggest common factor number .

Step-1: Prime Factorization of 74277

Prime factors of 74277 are 3, 7, 131. Prime factorization of 74277 in exponential form is:

74277 = 3⁴ × 7¹ × 131¹

Step-2: Prime Factorization of 74289

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

74289 = 3¹ × 24763¹

Step-3: Factors of 74277

List of positive integer factors of 74277 that divides 74277 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 131, 189, 393, 567, 917, 1179, 2751, 3537, 8253, 10611, 24759

Step-4: Factors of 74289

List of positive integer factors of 74289 that divides 74277 without a remainder.

1, 3, 24763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74277 and 74289. The biggest common factor number is the GCF number.
So the greatest common factor 74277 and 74289 is 3.

Also check out the Least Common Multiple of 74277 and 74289