What is the Greatest Common Factor of 46991 and 47008?

Greatest common factor (GCF) of 46991 and 47008 is 1.

GCF(46991,47008) = 1

We will now calculate the prime factors of 46991 and 47008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46991 and 47008.

How to find the GCF of 46991 and 47008?

We will first find the prime factorization of 46991 and 47008. After we will calculate the factors of 46991 and 47008 and find the biggest common factor number .

Step-1: Prime Factorization of 46991

Prime factors of 46991 are 7, 137. Prime factorization of 46991 in exponential form is:

46991 = 7³ × 137¹

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 46991

List of positive integer factors of 46991 that divides 46991 without a remainder.

1, 7, 49, 137, 343, 959, 6713

Step-4: Factors of 47008

List of positive integer factors of 47008 that divides 46991 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 46991 and 47008. The biggest common factor number is the GCF number.
So the greatest common factor 46991 and 47008 is 1.

Also check out the Least Common Multiple of 46991 and 47008