What is the Greatest Common Factor of 47408 and 47414?

Greatest common factor (GCF) of 47408 and 47414 is 2.

GCF(47408,47414) = 2

We will now calculate the prime factors of 47408 and 47414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47408 and 47414.

How to find the GCF of 47408 and 47414?

We will first find the prime factorization of 47408 and 47414. After we will calculate the factors of 47408 and 47414 and find the biggest common factor number .

Step-1: Prime Factorization of 47408

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

47408 = 2⁴ × 2963¹

Step-2: Prime Factorization of 47414

Prime factors of 47414 are 2, 151, 157. Prime factorization of 47414 in exponential form is:

47414 = 2¹ × 151¹ × 157¹

Step-3: Factors of 47408

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

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

Step-4: Factors of 47414

List of positive integer factors of 47414 that divides 47408 without a remainder.

1, 2, 151, 157, 302, 314, 23707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47408 and 47414. The biggest common factor number is the GCF number.
So the greatest common factor 47408 and 47414 is 2.

Also check out the Least Common Multiple of 47408 and 47414