What is the Greatest Common Factor of 47102 and 47107?

Greatest common factor (GCF) of 47102 and 47107 is 1.

GCF(47102,47107) = 1

We will now calculate the prime factors of 47102 and 47107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47102 and 47107.

How to find the GCF of 47102 and 47107?

We will first find the prime factorization of 47102 and 47107. After we will calculate the factors of 47102 and 47107 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47107

Prime factors of 47107 are 17, 163. Prime factorization of 47107 in exponential form is:

47107 = 17² × 163¹

Step-3: Factors of 47102

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

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

Step-4: Factors of 47107

List of positive integer factors of 47107 that divides 47102 without a remainder.

1, 17, 163, 289, 2771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47102 and 47107. The biggest common factor number is the GCF number.
So the greatest common factor 47102 and 47107 is 1.

Also check out the Least Common Multiple of 47102 and 47107