What is the Greatest Common Factor of 62854 and 62867?

Greatest common factor (GCF) of 62854 and 62867 is 1.

GCF(62854,62867) = 1

We will now calculate the prime factors of 62854 and 62867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62854 and 62867.

How to find the GCF of 62854 and 62867?

We will first find the prime factorization of 62854 and 62867. After we will calculate the factors of 62854 and 62867 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 62867

Prime factors of 62867 are 7, 1283. Prime factorization of 62867 in exponential form is:

62867 = 7² × 1283¹

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 62867

List of positive integer factors of 62867 that divides 62854 without a remainder.

1, 7, 49, 1283, 8981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62854 and 62867. The biggest common factor number is the GCF number.
So the greatest common factor 62854 and 62867 is 1.

Also check out the Least Common Multiple of 62854 and 62867