What is the Greatest Common Factor of 59802 and 59818?

Greatest common factor (GCF) of 59802 and 59818 is 2.

GCF(59802,59818) = 2

We will now calculate the prime factors of 59802 and 59818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59802 and 59818.

How to find the GCF of 59802 and 59818?

We will first find the prime factorization of 59802 and 59818. After we will calculate the factors of 59802 and 59818 and find the biggest common factor number .

Step-1: Prime Factorization of 59802

Prime factors of 59802 are 2, 3, 9967. Prime factorization of 59802 in exponential form is:

59802 = 2¹ × 3¹ × 9967¹

Step-2: Prime Factorization of 59818

Prime factors of 59818 are 2, 11, 2719. Prime factorization of 59818 in exponential form is:

59818 = 2¹ × 11¹ × 2719¹

Step-3: Factors of 59802

List of positive integer factors of 59802 that divides 59802 without a remainder.

1, 2, 3, 6, 9967, 19934, 29901

Step-4: Factors of 59818

List of positive integer factors of 59818 that divides 59802 without a remainder.

1, 2, 11, 22, 2719, 5438, 29909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59802 and 59818. The biggest common factor number is the GCF number.
So the greatest common factor 59802 and 59818 is 2.

Also check out the Least Common Multiple of 59802 and 59818