What is the Greatest Common Factor of 46249 and 46256?

Greatest common factor (GCF) of 46249 and 46256 is 7.

GCF(46249,46256) = 7

We will now calculate the prime factors of 46249 and 46256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46249 and 46256.

How to find the GCF of 46249 and 46256?

We will first find the prime factorization of 46249 and 46256. After we will calculate the factors of 46249 and 46256 and find the biggest common factor number .

Step-1: Prime Factorization of 46249

Prime factors of 46249 are 7, 6607. Prime factorization of 46249 in exponential form is:

46249 = 7¹ × 6607¹

Step-2: Prime Factorization of 46256

Prime factors of 46256 are 2, 7, 59. Prime factorization of 46256 in exponential form is:

46256 = 2⁴ × 7² × 59¹

Step-3: Factors of 46249

List of positive integer factors of 46249 that divides 46249 without a remainder.

1, 7, 6607

Step-4: Factors of 46256

List of positive integer factors of 46256 that divides 46249 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 59, 98, 112, 118, 196, 236, 392, 413, 472, 784, 826, 944, 1652, 2891, 3304, 5782, 6608, 11564, 23128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46249 and 46256. The biggest common factor number is the GCF number.
So the greatest common factor 46249 and 46256 is 7.

Also check out the Least Common Multiple of 46249 and 46256