What is the Greatest Common Factor of 47608 and 47614?

Greatest common factor (GCF) of 47608 and 47614 is 2.

GCF(47608,47614) = 2

We will now calculate the prime factors of 47608 and 47614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47608 and 47614.

How to find the GCF of 47608 and 47614?

We will first find the prime factorization of 47608 and 47614. After we will calculate the factors of 47608 and 47614 and find the biggest common factor number .

Step-1: Prime Factorization of 47608

Prime factors of 47608 are 2, 11, 541. Prime factorization of 47608 in exponential form is:

47608 = 2³ × 11¹ × 541¹

Step-2: Prime Factorization of 47614

Prime factors of 47614 are 2, 7, 19, 179. Prime factorization of 47614 in exponential form is:

47614 = 2¹ × 7¹ × 19¹ × 179¹

Step-3: Factors of 47608

List of positive integer factors of 47608 that divides 47608 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 541, 1082, 2164, 4328, 5951, 11902, 23804

Step-4: Factors of 47614

List of positive integer factors of 47614 that divides 47608 without a remainder.

1, 2, 7, 14, 19, 38, 133, 179, 266, 358, 1253, 2506, 3401, 6802, 23807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47608 and 47614. The biggest common factor number is the GCF number.
So the greatest common factor 47608 and 47614 is 2.

Also check out the Least Common Multiple of 47608 and 47614