What is the Greatest Common Factor of 46994 and 47008?

Greatest common factor (GCF) of 46994 and 47008 is 2.

GCF(46994,47008) = 2

We will now calculate the prime factors of 46994 and 47008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46994 and 47008.

How to find the GCF of 46994 and 47008?

We will first find the prime factorization of 46994 and 47008. After we will calculate the factors of 46994 and 47008 and find the biggest common factor number .

Step-1: Prime Factorization of 46994

Prime factors of 46994 are 2, 23497. Prime factorization of 46994 in exponential form is:

46994 = 2¹ × 23497¹

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 46994

List of positive integer factors of 46994 that divides 46994 without a remainder.

1, 2, 23497

Step-4: Factors of 47008

List of positive integer factors of 47008 that divides 46994 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 46994 and 47008. The biggest common factor number is the GCF number.
So the greatest common factor 46994 and 47008 is 2.

Also check out the Least Common Multiple of 46994 and 47008