What is the Greatest Common Factor of 62874 and 62887?

Greatest common factor (GCF) of 62874 and 62887 is 1.

GCF(62874,62887) = 1

We will now calculate the prime factors of 62874 and 62887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62874 and 62887.

How to find the GCF of 62874 and 62887?

We will first find the prime factorization of 62874 and 62887. After we will calculate the factors of 62874 and 62887 and find the biggest common factor number .

Step-1: Prime Factorization of 62874

Prime factors of 62874 are 2, 3, 7, 499. Prime factorization of 62874 in exponential form is:

62874 = 2¹ × 3² × 7¹ × 499¹

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 62874

List of positive integer factors of 62874 that divides 62874 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 499, 998, 1497, 2994, 3493, 4491, 6986, 8982, 10479, 20958, 31437

Step-4: Factors of 62887

List of positive integer factors of 62887 that divides 62874 without a remainder.

1, 11, 5717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62874 and 62887. The biggest common factor number is the GCF number.
So the greatest common factor 62874 and 62887 is 1.

Also check out the Least Common Multiple of 62874 and 62887