What is the Greatest Common Factor of 47658 and 47671?

Greatest common factor (GCF) of 47658 and 47671 is 13.

GCF(47658,47671) = 13

We will now calculate the prime factors of 47658 and 47671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47658 and 47671.

How to find the GCF of 47658 and 47671?

We will first find the prime factorization of 47658 and 47671. After we will calculate the factors of 47658 and 47671 and find the biggest common factor number .

Step-1: Prime Factorization of 47658

Prime factors of 47658 are 2, 3, 13, 47. Prime factorization of 47658 in exponential form is:

47658 = 2¹ × 3¹ × 13² × 47¹

Step-2: Prime Factorization of 47671

Prime factors of 47671 are 13, 19, 193. Prime factorization of 47671 in exponential form is:

47671 = 13¹ × 19¹ × 193¹

Step-3: Factors of 47658

List of positive integer factors of 47658 that divides 47658 without a remainder.

1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 169, 282, 338, 507, 611, 1014, 1222, 1833, 3666, 7943, 15886, 23829

Step-4: Factors of 47671

List of positive integer factors of 47671 that divides 47658 without a remainder.

1, 13, 19, 193, 247, 2509, 3667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47658 and 47671. The biggest common factor number is the GCF number.
So the greatest common factor 47658 and 47671 is 13.

Also check out the Least Common Multiple of 47658 and 47671