What is the Greatest Common Factor of 62887 and 62898?

Greatest common factor (GCF) of 62887 and 62898 is 11.

GCF(62887,62898) = 11

We will now calculate the prime factors of 62887 and 62898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62887 and 62898.

How to find the GCF of 62887 and 62898?

We will first find the prime factorization of 62887 and 62898. After we will calculate the factors of 62887 and 62898 and find the biggest common factor number .

Step-1: Prime Factorization of 62887

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

62887 = 11¹ × 5717¹

Step-2: Prime Factorization of 62898

Prime factors of 62898 are 2, 3, 11, 953. Prime factorization of 62898 in exponential form is:

62898 = 2¹ × 3¹ × 11¹ × 953¹

Step-3: Factors of 62887

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

1, 11, 5717

Step-4: Factors of 62898

List of positive integer factors of 62898 that divides 62887 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 953, 1906, 2859, 5718, 10483, 20966, 31449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62887 and 62898. The biggest common factor number is the GCF number.
So the greatest common factor 62887 and 62898 is 11.

Also check out the Least Common Multiple of 62887 and 62898