What is the Greatest Common Factor of 47686 and 47702?

Greatest common factor (GCF) of 47686 and 47702 is 2.

GCF(47686,47702) = 2

We will now calculate the prime factors of 47686 and 47702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47686 and 47702.

How to find the GCF of 47686 and 47702?

We will first find the prime factorization of 47686 and 47702. After we will calculate the factors of 47686 and 47702 and find the biggest common factor number .

Step-1: Prime Factorization of 47686

Prime factors of 47686 are 2, 113, 211. Prime factorization of 47686 in exponential form is:

47686 = 2¹ × 113¹ × 211¹

Step-2: Prime Factorization of 47702

Prime factors of 47702 are 2, 17, 23, 61. Prime factorization of 47702 in exponential form is:

47702 = 2¹ × 17¹ × 23¹ × 61¹

Step-3: Factors of 47686

List of positive integer factors of 47686 that divides 47686 without a remainder.

1, 2, 113, 211, 226, 422, 23843

Step-4: Factors of 47702

List of positive integer factors of 47702 that divides 47686 without a remainder.

1, 2, 17, 23, 34, 46, 61, 122, 391, 782, 1037, 1403, 2074, 2806, 23851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47686 and 47702. The biggest common factor number is the GCF number.
So the greatest common factor 47686 and 47702 is 2.

Also check out the Least Common Multiple of 47686 and 47702