What is the Greatest Common Factor of 59854 and 59858?

Greatest common factor (GCF) of 59854 and 59858 is 2.

GCF(59854,59858) = 2

We will now calculate the prime factors of 59854 and 59858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59854 and 59858.

How to find the GCF of 59854 and 59858?

We will first find the prime factorization of 59854 and 59858. After we will calculate the factors of 59854 and 59858 and find the biggest common factor number .

Step-1: Prime Factorization of 59854

Prime factors of 59854 are 2, 29927. Prime factorization of 59854 in exponential form is:

59854 = 2¹ × 29927¹

Step-2: Prime Factorization of 59858

Prime factors of 59858 are 2, 173. Prime factorization of 59858 in exponential form is:

59858 = 2¹ × 173²

Step-3: Factors of 59854

List of positive integer factors of 59854 that divides 59854 without a remainder.

1, 2, 29927

Step-4: Factors of 59858

List of positive integer factors of 59858 that divides 59854 without a remainder.

1, 2, 173, 346, 29929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59854 and 59858. The biggest common factor number is the GCF number.
So the greatest common factor 59854 and 59858 is 2.

Also check out the Least Common Multiple of 59854 and 59858