What is the Greatest Common Factor of 47067 and 47082?

Greatest common factor (GCF) of 47067 and 47082 is 3.

GCF(47067,47082) = 3

We will now calculate the prime factors of 47067 and 47082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47067 and 47082.

How to find the GCF of 47067 and 47082?

We will first find the prime factorization of 47067 and 47082. After we will calculate the factors of 47067 and 47082 and find the biggest common factor number .

Step-1: Prime Factorization of 47067

Prime factors of 47067 are 3, 29, 541. Prime factorization of 47067 in exponential form is:

47067 = 3¹ × 29¹ × 541¹

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 47067

List of positive integer factors of 47067 that divides 47067 without a remainder.

1, 3, 29, 87, 541, 1623, 15689

Step-4: Factors of 47082

List of positive integer factors of 47082 that divides 47067 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 47067 and 47082. The biggest common factor number is the GCF number.
So the greatest common factor 47067 and 47082 is 3.

Also check out the Least Common Multiple of 47067 and 47082