What is the Greatest Common Factor of 59854 and 59874?

Greatest common factor (GCF) of 59854 and 59874 is 2.

GCF(59854,59874) = 2

We will now calculate the prime factors of 59854 and 59874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59854 and 59874.

How to find the GCF of 59854 and 59874?

We will first find the prime factorization of 59854 and 59874. After we will calculate the factors of 59854 and 59874 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 59874

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

59874 = 2¹ × 3¹ × 17¹ × 587¹

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 59874

List of positive integer factors of 59874 that divides 59854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59854 and 59874. The biggest common factor number is the GCF number.
So the greatest common factor 59854 and 59874 is 2.

Also check out the Least Common Multiple of 59854 and 59874