What is the Greatest Common Factor of 62853 and 62867?

Greatest common factor (GCF) of 62853 and 62867 is 7.

GCF(62853,62867) = 7

We will now calculate the prime factors of 62853 and 62867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62853 and 62867.

How to find the GCF of 62853 and 62867?

We will first find the prime factorization of 62853 and 62867. After we will calculate the factors of 62853 and 62867 and find the biggest common factor number .

Step-1: Prime Factorization of 62853

Prime factors of 62853 are 3, 7, 41, 73. Prime factorization of 62853 in exponential form is:

62853 = 3¹ × 7¹ × 41¹ × 73¹

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 62853

List of positive integer factors of 62853 that divides 62853 without a remainder.

1, 3, 7, 21, 41, 73, 123, 219, 287, 511, 861, 1533, 2993, 8979, 20951

Step-4: Factors of 62867

List of positive integer factors of 62867 that divides 62853 without a remainder.

1, 7, 49, 1283, 8981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62853 and 62867. The biggest common factor number is the GCF number.
So the greatest common factor 62853 and 62867 is 7.

Also check out the Least Common Multiple of 62853 and 62867