What is the Greatest Common Factor of 47002 and 47008?

Greatest common factor (GCF) of 47002 and 47008 is 2.

GCF(47002,47008) = 2

We will now calculate the prime factors of 47002 and 47008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47002 and 47008.

How to find the GCF of 47002 and 47008?

We will first find the prime factorization of 47002 and 47008. After we will calculate the factors of 47002 and 47008 and find the biggest common factor number .

Step-1: Prime Factorization of 47002

Prime factors of 47002 are 2, 71, 331. Prime factorization of 47002 in exponential form is:

47002 = 2¹ × 71¹ × 331¹

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 47002

List of positive integer factors of 47002 that divides 47002 without a remainder.

1, 2, 71, 142, 331, 662, 23501

Step-4: Factors of 47008

List of positive integer factors of 47008 that divides 47002 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 47002 and 47008. The biggest common factor number is the GCF number.
So the greatest common factor 47002 and 47008 is 2.

Also check out the Least Common Multiple of 47002 and 47008