What is the Greatest Common Factor of 62854 and 62872?

Greatest common factor (GCF) of 62854 and 62872 is 2.

GCF(62854,62872) = 2

We will now calculate the prime factors of 62854 and 62872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62854 and 62872.

How to find the GCF of 62854 and 62872?

We will first find the prime factorization of 62854 and 62872. After we will calculate the factors of 62854 and 62872 and find the biggest common factor number .

Step-1: Prime Factorization of 62854

Prime factors of 62854 are 2, 11, 2857. Prime factorization of 62854 in exponential form is:

62854 = 2¹ × 11¹ × 2857¹

Step-2: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-3: Factors of 62854

List of positive integer factors of 62854 that divides 62854 without a remainder.

1, 2, 11, 22, 2857, 5714, 31427

Step-4: Factors of 62872

List of positive integer factors of 62872 that divides 62854 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62854 and 62872. The biggest common factor number is the GCF number.
So the greatest common factor 62854 and 62872 is 2.

Also check out the Least Common Multiple of 62854 and 62872