What is the Greatest Common Factor of 47076 and 47082?

Greatest common factor (GCF) of 47076 and 47082 is 6.

GCF(47076,47082) = 6

We will now calculate the prime factors of 47076 and 47082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47076 and 47082.

How to find the GCF of 47076 and 47082?

We will first find the prime factorization of 47076 and 47082. After we will calculate the factors of 47076 and 47082 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 47082

Prime factors of 47082 are 2, 3, 7, 19, 59. Prime factorization of 47082 in exponential form is:

47082 = 2¹ × 3¹ × 7¹ × 19¹ × 59¹

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 47082

List of positive integer factors of 47082 that divides 47076 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 59, 114, 118, 133, 177, 266, 354, 399, 413, 798, 826, 1121, 1239, 2242, 2478, 3363, 6726, 7847, 15694, 23541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47076 and 47082. The biggest common factor number is the GCF number.
So the greatest common factor 47076 and 47082 is 6.

Also check out the Least Common Multiple of 47076 and 47082