What is the Greatest Common Factor of 47658 and 47675?

Greatest common factor (GCF) of 47658 and 47675 is 1.

GCF(47658,47675) = 1

We will now calculate the prime factors of 47658 and 47675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47658 and 47675.

How to find the GCF of 47658 and 47675?

We will first find the prime factorization of 47658 and 47675. After we will calculate the factors of 47658 and 47675 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 47675

Prime factors of 47675 are 5, 1907. Prime factorization of 47675 in exponential form is:

47675 = 5² × 1907¹

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 47675

List of positive integer factors of 47675 that divides 47658 without a remainder.

1, 5, 25, 1907, 9535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47658 and 47675. The biggest common factor number is the GCF number.
So the greatest common factor 47658 and 47675 is 1.

Also check out the Least Common Multiple of 47658 and 47675