What is the Greatest Common Factor of 46988 and 47008?

Greatest common factor (GCF) of 46988 and 47008 is 4.

GCF(46988,47008) = 4

We will now calculate the prime factors of 46988 and 47008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46988 and 47008.

How to find the GCF of 46988 and 47008?

We will first find the prime factorization of 46988 and 47008. After we will calculate the factors of 46988 and 47008 and find the biggest common factor number .

Step-1: Prime Factorization of 46988

Prime factors of 46988 are 2, 17, 691. Prime factorization of 46988 in exponential form is:

46988 = 2² × 17¹ × 691¹

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 46988

List of positive integer factors of 46988 that divides 46988 without a remainder.

1, 2, 4, 17, 34, 68, 691, 1382, 2764, 11747, 23494

Step-4: Factors of 47008

List of positive integer factors of 47008 that divides 46988 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 46988 and 47008. The biggest common factor number is the GCF number.
So the greatest common factor 46988 and 47008 is 4.

Also check out the Least Common Multiple of 46988 and 47008