What is the Greatest Common Factor of 39249 and 39256?

Greatest common factor (GCF) of 39249 and 39256 is 7.

GCF(39249,39256) = 7

We will now calculate the prime factors of 39249 and 39256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39249 and 39256.

How to find the GCF of 39249 and 39256?

We will first find the prime factorization of 39249 and 39256. After we will calculate the factors of 39249 and 39256 and find the biggest common factor number .

Step-1: Prime Factorization of 39249

Prime factors of 39249 are 3, 7, 89. Prime factorization of 39249 in exponential form is:

39249 = 3² × 7² × 89¹

Step-2: Prime Factorization of 39256

Prime factors of 39256 are 2, 7, 701. Prime factorization of 39256 in exponential form is:

39256 = 2³ × 7¹ × 701¹

Step-3: Factors of 39249

List of positive integer factors of 39249 that divides 39249 without a remainder.

1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083

Step-4: Factors of 39256

List of positive integer factors of 39256 that divides 39249 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 701, 1402, 2804, 4907, 5608, 9814, 19628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39249 and 39256. The biggest common factor number is the GCF number.
So the greatest common factor 39249 and 39256 is 7.

Also check out the Least Common Multiple of 39249 and 39256