What is the Greatest Common Factor of 47061 and 47076?

Greatest common factor (GCF) of 47061 and 47076 is 3.

GCF(47061,47076) = 3

We will now calculate the prime factors of 47061 and 47076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47061 and 47076.

How to find the GCF of 47061 and 47076?

We will first find the prime factorization of 47061 and 47076. After we will calculate the factors of 47061 and 47076 and find the biggest common factor number .

Step-1: Prime Factorization of 47061

Prime factors of 47061 are 3, 7, 83. Prime factorization of 47061 in exponential form is:

47061 = 3⁴ × 7¹ × 83¹

Step-2: Prime Factorization of 47076

Prime factors of 47076 are 2, 3, 3923. Prime factorization of 47076 in exponential form is:

47076 = 2² × 3¹ × 3923¹

Step-3: Factors of 47061

List of positive integer factors of 47061 that divides 47061 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 83, 189, 249, 567, 581, 747, 1743, 2241, 5229, 6723, 15687

Step-4: Factors of 47076

List of positive integer factors of 47076 that divides 47061 without a remainder.

1, 2, 3, 4, 6, 12, 3923, 7846, 11769, 15692, 23538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47061 and 47076. The biggest common factor number is the GCF number.
So the greatest common factor 47061 and 47076 is 3.

Also check out the Least Common Multiple of 47061 and 47076