What is the Greatest Common Factor of 46995 and 47008?

Greatest common factor (GCF) of 46995 and 47008 is 13.

GCF(46995,47008) = 13

We will now calculate the prime factors of 46995 and 47008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46995 and 47008.

How to find the GCF of 46995 and 47008?

We will first find the prime factorization of 46995 and 47008. After we will calculate the factors of 46995 and 47008 and find the biggest common factor number .

Step-1: Prime Factorization of 46995

Prime factors of 46995 are 3, 5, 13, 241. Prime factorization of 46995 in exponential form is:

46995 = 3¹ × 5¹ × 13¹ × 241¹

Step-2: Prime Factorization of 47008

Prime factors of 47008 are 2, 13, 113. Prime factorization of 47008 in exponential form is:

47008 = 2⁵ × 13¹ × 113¹

Step-3: Factors of 46995

List of positive integer factors of 46995 that divides 46995 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 241, 723, 1205, 3133, 3615, 9399, 15665

Step-4: Factors of 47008

List of positive integer factors of 47008 that divides 46995 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 113, 208, 226, 416, 452, 904, 1469, 1808, 2938, 3616, 5876, 11752, 23504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46995 and 47008. The biggest common factor number is the GCF number.
So the greatest common factor 46995 and 47008 is 13.

Also check out the Least Common Multiple of 46995 and 47008