What is the Greatest Common Factor of 47084 and 47102?

Greatest common factor (GCF) of 47084 and 47102 is 2.

GCF(47084,47102) = 2

We will now calculate the prime factors of 47084 and 47102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47084 and 47102.

How to find the GCF of 47084 and 47102?

We will first find the prime factorization of 47084 and 47102. After we will calculate the factors of 47084 and 47102 and find the biggest common factor number .

Step-1: Prime Factorization of 47084

Prime factors of 47084 are 2, 79, 149. Prime factorization of 47084 in exponential form is:

47084 = 2² × 79¹ × 149¹

Step-2: Prime Factorization of 47102

Prime factors of 47102 are 2, 11, 2141. Prime factorization of 47102 in exponential form is:

47102 = 2¹ × 11¹ × 2141¹

Step-3: Factors of 47084

List of positive integer factors of 47084 that divides 47084 without a remainder.

1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542

Step-4: Factors of 47102

List of positive integer factors of 47102 that divides 47084 without a remainder.

1, 2, 11, 22, 2141, 4282, 23551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47084 and 47102. The biggest common factor number is the GCF number.
So the greatest common factor 47084 and 47102 is 2.

Also check out the Least Common Multiple of 47084 and 47102