What is the Greatest Common Factor of 59658 and 59671?

Greatest common factor (GCF) of 59658 and 59671 is 1.

GCF(59658,59671) = 1

We will now calculate the prime factors of 59658 and 59671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59658 and 59671.

How to find the GCF of 59658 and 59671?

We will first find the prime factorization of 59658 and 59671. After we will calculate the factors of 59658 and 59671 and find the biggest common factor number .

Step-1: Prime Factorization of 59658

Prime factors of 59658 are 2, 3, 61, 163. Prime factorization of 59658 in exponential form is:

59658 = 2¹ × 3¹ × 61¹ × 163¹

Step-2: Prime Factorization of 59671

Prime factors of 59671 are 59671. Prime factorization of 59671 in exponential form is:

59671 = 59671¹

Step-3: Factors of 59658

List of positive integer factors of 59658 that divides 59658 without a remainder.

1, 2, 3, 6, 61, 122, 163, 183, 326, 366, 489, 978, 9943, 19886, 29829

Step-4: Factors of 59671

List of positive integer factors of 59671 that divides 59658 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59658 and 59671. The biggest common factor number is the GCF number.
So the greatest common factor 59658 and 59671 is 1.

Also check out the Least Common Multiple of 59658 and 59671