What is the Greatest Common Factor of 47398 and 47408?

Greatest common factor (GCF) of 47398 and 47408 is 2.

GCF(47398,47408) = 2

We will now calculate the prime factors of 47398 and 47408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47398 and 47408.

How to find the GCF of 47398 and 47408?

We will first find the prime factorization of 47398 and 47408. After we will calculate the factors of 47398 and 47408 and find the biggest common factor number .

Step-1: Prime Factorization of 47398

Prime factors of 47398 are 2, 13, 1823. Prime factorization of 47398 in exponential form is:

47398 = 2¹ × 13¹ × 1823¹

Step-2: Prime Factorization of 47408

Prime factors of 47408 are 2, 2963. Prime factorization of 47408 in exponential form is:

47408 = 2⁴ × 2963¹

Step-3: Factors of 47398

List of positive integer factors of 47398 that divides 47398 without a remainder.

1, 2, 13, 26, 1823, 3646, 23699

Step-4: Factors of 47408

List of positive integer factors of 47408 that divides 47398 without a remainder.

1, 2, 4, 8, 16, 2963, 5926, 11852, 23704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47398 and 47408. The biggest common factor number is the GCF number.
So the greatest common factor 47398 and 47408 is 2.

Also check out the Least Common Multiple of 47398 and 47408