What is the Greatest Common Factor of 47076 and 47088?

Greatest common factor (GCF) of 47076 and 47088 is 12.

GCF(47076,47088) = 12

We will now calculate the prime factors of 47076 and 47088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47076 and 47088.

How to find the GCF of 47076 and 47088?

We will first find the prime factorization of 47076 and 47088. After we will calculate the factors of 47076 and 47088 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47088

Prime factors of 47088 are 2, 3, 109. Prime factorization of 47088 in exponential form is:

47088 = 2⁴ × 3³ × 109¹

Step-3: Factors of 47076

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

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

Step-4: Factors of 47088

List of positive integer factors of 47088 that divides 47076 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 109, 144, 216, 218, 327, 432, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 2943, 3924, 5232, 5886, 7848, 11772, 15696, 23544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47076 and 47088. The biggest common factor number is the GCF number.
So the greatest common factor 47076 and 47088 is 12.

Also check out the Least Common Multiple of 47076 and 47088