What is the Greatest Common Factor of 47038 and 47046?

Greatest common factor (GCF) of 47038 and 47046 is 2.

GCF(47038,47046) = 2

We will now calculate the prime factors of 47038 and 47046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47038 and 47046.

How to find the GCF of 47038 and 47046?

We will first find the prime factorization of 47038 and 47046. After we will calculate the factors of 47038 and 47046 and find the biggest common factor number .

Step-1: Prime Factorization of 47038

Prime factors of 47038 are 2, 29, 811. Prime factorization of 47038 in exponential form is:

47038 = 2¹ × 29¹ × 811¹

Step-2: Prime Factorization of 47046

Prime factors of 47046 are 2, 3, 7841. Prime factorization of 47046 in exponential form is:

47046 = 2¹ × 3¹ × 7841¹

Step-3: Factors of 47038

List of positive integer factors of 47038 that divides 47038 without a remainder.

1, 2, 29, 58, 811, 1622, 23519

Step-4: Factors of 47046

List of positive integer factors of 47046 that divides 47038 without a remainder.

1, 2, 3, 6, 7841, 15682, 23523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47038 and 47046. The biggest common factor number is the GCF number.
So the greatest common factor 47038 and 47046 is 2.

Also check out the Least Common Multiple of 47038 and 47046