What is the Greatest Common Factor of 47458 and 47476?

Greatest common factor (GCF) of 47458 and 47476 is 2.

GCF(47458,47476) = 2

We will now calculate the prime factors of 47458 and 47476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47458 and 47476.

How to find the GCF of 47458 and 47476?

We will first find the prime factorization of 47458 and 47476. After we will calculate the factors of 47458 and 47476 and find the biggest common factor number .

Step-1: Prime Factorization of 47458

Prime factors of 47458 are 2, 61, 389. Prime factorization of 47458 in exponential form is:

47458 = 2¹ × 61¹ × 389¹

Step-2: Prime Factorization of 47476

Prime factors of 47476 are 2, 11, 13, 83. Prime factorization of 47476 in exponential form is:

47476 = 2² × 11¹ × 13¹ × 83¹

Step-3: Factors of 47458

List of positive integer factors of 47458 that divides 47458 without a remainder.

1, 2, 61, 122, 389, 778, 23729

Step-4: Factors of 47476

List of positive integer factors of 47476 that divides 47458 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 83, 143, 166, 286, 332, 572, 913, 1079, 1826, 2158, 3652, 4316, 11869, 23738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47458 and 47476. The biggest common factor number is the GCF number.
So the greatest common factor 47458 and 47476 is 2.

Also check out the Least Common Multiple of 47458 and 47476