What is the Greatest Common Factor of 46904 and 46915?

Greatest common factor (GCF) of 46904 and 46915 is 11.

GCF(46904,46915) = 11

We will now calculate the prime factors of 46904 and 46915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46904 and 46915.

How to find the GCF of 46904 and 46915?

We will first find the prime factorization of 46904 and 46915. After we will calculate the factors of 46904 and 46915 and find the biggest common factor number .

Step-1: Prime Factorization of 46904

Prime factors of 46904 are 2, 11, 13, 41. Prime factorization of 46904 in exponential form is:

46904 = 2³ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 46915

Prime factors of 46915 are 5, 11, 853. Prime factorization of 46915 in exponential form is:

46915 = 5¹ × 11¹ × 853¹

Step-3: Factors of 46904

List of positive integer factors of 46904 that divides 46904 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 41, 44, 52, 82, 88, 104, 143, 164, 286, 328, 451, 533, 572, 902, 1066, 1144, 1804, 2132, 3608, 4264, 5863, 11726, 23452

Step-4: Factors of 46915

List of positive integer factors of 46915 that divides 46904 without a remainder.

1, 5, 11, 55, 853, 4265, 9383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46904 and 46915. The biggest common factor number is the GCF number.
So the greatest common factor 46904 and 46915 is 11.

Also check out the Least Common Multiple of 46904 and 46915