What is the Greatest Common Factor of 59898 and 59914?

Greatest common factor (GCF) of 59898 and 59914 is 2.

GCF(59898,59914) = 2

We will now calculate the prime factors of 59898 and 59914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59898 and 59914.

How to find the GCF of 59898 and 59914?

We will first find the prime factorization of 59898 and 59914. After we will calculate the factors of 59898 and 59914 and find the biggest common factor number .

Step-1: Prime Factorization of 59898

Prime factors of 59898 are 2, 3, 67, 149. Prime factorization of 59898 in exponential form is:

59898 = 2¹ × 3¹ × 67¹ × 149¹

Step-2: Prime Factorization of 59914

Prime factors of 59914 are 2, 29, 1033. Prime factorization of 59914 in exponential form is:

59914 = 2¹ × 29¹ × 1033¹

Step-3: Factors of 59898

List of positive integer factors of 59898 that divides 59898 without a remainder.

1, 2, 3, 6, 67, 134, 149, 201, 298, 402, 447, 894, 9983, 19966, 29949

Step-4: Factors of 59914

List of positive integer factors of 59914 that divides 59898 without a remainder.

1, 2, 29, 58, 1033, 2066, 29957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59898 and 59914. The biggest common factor number is the GCF number.
So the greatest common factor 59898 and 59914 is 2.

Also check out the Least Common Multiple of 59898 and 59914