What is the Greatest Common Factor of 47665 and 47684?

Greatest common factor (GCF) of 47665 and 47684 is 1.

GCF(47665,47684) = 1

We will now calculate the prime factors of 47665 and 47684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47665 and 47684.

How to find the GCF of 47665 and 47684?

We will first find the prime factorization of 47665 and 47684. After we will calculate the factors of 47665 and 47684 and find the biggest common factor number .

Step-1: Prime Factorization of 47665

Prime factors of 47665 are 5, 9533. Prime factorization of 47665 in exponential form is:

47665 = 5¹ × 9533¹

Step-2: Prime Factorization of 47684

Prime factors of 47684 are 2, 7, 13, 131. Prime factorization of 47684 in exponential form is:

47684 = 2² × 7¹ × 13¹ × 131¹

Step-3: Factors of 47665

List of positive integer factors of 47665 that divides 47665 without a remainder.

1, 5, 9533

Step-4: Factors of 47684

List of positive integer factors of 47684 that divides 47665 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 131, 182, 262, 364, 524, 917, 1703, 1834, 3406, 3668, 6812, 11921, 23842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47665 and 47684. The biggest common factor number is the GCF number.
So the greatest common factor 47665 and 47684 is 1.

Also check out the Least Common Multiple of 47665 and 47684