What is the Greatest Common Factor of 62876 and 62887?

Greatest common factor (GCF) of 62876 and 62887 is 11.

GCF(62876,62887) = 11

We will now calculate the prime factors of 62876 and 62887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62876 and 62887.

How to find the GCF of 62876 and 62887?

We will first find the prime factorization of 62876 and 62887. After we will calculate the factors of 62876 and 62887 and find the biggest common factor number .

Step-1: Prime Factorization of 62876

Prime factors of 62876 are 2, 11, 1429. Prime factorization of 62876 in exponential form is:

62876 = 2² × 11¹ × 1429¹

Step-2: Prime Factorization of 62887

Prime factors of 62887 are 11, 5717. Prime factorization of 62887 in exponential form is:

62887 = 11¹ × 5717¹

Step-3: Factors of 62876

List of positive integer factors of 62876 that divides 62876 without a remainder.

1, 2, 4, 11, 22, 44, 1429, 2858, 5716, 15719, 31438

Step-4: Factors of 62887

List of positive integer factors of 62887 that divides 62876 without a remainder.

1, 11, 5717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62876 and 62887. The biggest common factor number is the GCF number.
So the greatest common factor 62876 and 62887 is 11.

Also check out the Least Common Multiple of 62876 and 62887