What is the Greatest Common Factor of 59874 and 59879?

Greatest common factor (GCF) of 59874 and 59879 is 1.

GCF(59874,59879) = 1

We will now calculate the prime factors of 59874 and 59879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59874 and 59879.

How to find the GCF of 59874 and 59879?

We will first find the prime factorization of 59874 and 59879. After we will calculate the factors of 59874 and 59879 and find the biggest common factor number .

Step-1: Prime Factorization of 59874

Prime factors of 59874 are 2, 3, 17, 587. Prime factorization of 59874 in exponential form is:

59874 = 2¹ × 3¹ × 17¹ × 587¹

Step-2: Prime Factorization of 59879

Prime factors of 59879 are 59879. Prime factorization of 59879 in exponential form is:

59879 = 59879¹

Step-3: Factors of 59874

List of positive integer factors of 59874 that divides 59874 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 587, 1174, 1761, 3522, 9979, 19958, 29937

Step-4: Factors of 59879

List of positive integer factors of 59879 that divides 59874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59874 and 59879. The biggest common factor number is the GCF number.
So the greatest common factor 59874 and 59879 is 1.

Also check out the Least Common Multiple of 59874 and 59879