What is the Greatest Common Factor of 59848 and 59862?

Greatest common factor (GCF) of 59848 and 59862 is 2.

GCF(59848,59862) = 2

We will now calculate the prime factors of 59848 and 59862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59848 and 59862.

How to find the GCF of 59848 and 59862?

We will first find the prime factorization of 59848 and 59862. After we will calculate the factors of 59848 and 59862 and find the biggest common factor number .

Step-1: Prime Factorization of 59848

Prime factors of 59848 are 2, 7481. Prime factorization of 59848 in exponential form is:

59848 = 2³ × 7481¹

Step-2: Prime Factorization of 59862

Prime factors of 59862 are 2, 3, 11, 907. Prime factorization of 59862 in exponential form is:

59862 = 2¹ × 3¹ × 11¹ × 907¹

Step-3: Factors of 59848

List of positive integer factors of 59848 that divides 59848 without a remainder.

1, 2, 4, 8, 7481, 14962, 29924

Step-4: Factors of 59862

List of positive integer factors of 59862 that divides 59848 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 907, 1814, 2721, 5442, 9977, 19954, 29931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59848 and 59862. The biggest common factor number is the GCF number.
So the greatest common factor 59848 and 59862 is 2.

Also check out the Least Common Multiple of 59848 and 59862