What is the Greatest Common Factor of 40257 and 40269?

Greatest common factor (GCF) of 40257 and 40269 is 3.

GCF(40257,40269) = 3

We will now calculate the prime factors of 40257 and 40269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40257 and 40269.

How to find the GCF of 40257 and 40269?

We will first find the prime factorization of 40257 and 40269. After we will calculate the factors of 40257 and 40269 and find the biggest common factor number .

Step-1: Prime Factorization of 40257

Prime factors of 40257 are 3, 7, 71. Prime factorization of 40257 in exponential form is:

40257 = 3⁴ × 7¹ × 71¹

Step-2: Prime Factorization of 40269

Prime factors of 40269 are 3, 31, 433. Prime factorization of 40269 in exponential form is:

40269 = 3¹ × 31¹ × 433¹

Step-3: Factors of 40257

List of positive integer factors of 40257 that divides 40257 without a remainder.

1, 3, 7, 9, 21, 27, 63, 71, 81, 189, 213, 497, 567, 639, 1491, 1917, 4473, 5751, 13419

Step-4: Factors of 40269

List of positive integer factors of 40269 that divides 40257 without a remainder.

1, 3, 31, 93, 433, 1299, 13423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40257 and 40269. The biggest common factor number is the GCF number.
So the greatest common factor 40257 and 40269 is 3.

Also check out the Least Common Multiple of 40257 and 40269