What is the Greatest Common Factor of 59658 and 59669?

Greatest common factor (GCF) of 59658 and 59669 is 1.

GCF(59658,59669) = 1

We will now calculate the prime factors of 59658 and 59669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59658 and 59669.

How to find the GCF of 59658 and 59669?

We will first find the prime factorization of 59658 and 59669. After we will calculate the factors of 59658 and 59669 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 59669

Prime factors of 59669 are 59669. Prime factorization of 59669 in exponential form is:

59669 = 59669¹

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 59669

List of positive integer factors of 59669 that divides 59658 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59658 and 59669. The biggest common factor number is the GCF number.
So the greatest common factor 59658 and 59669 is 1.

Also check out the Least Common Multiple of 59658 and 59669