What is the Greatest Common Factor of 62847 and 62853?

Greatest common factor (GCF) of 62847 and 62853 is 3.

GCF(62847,62853) = 3

We will now calculate the prime factors of 62847 and 62853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62847 and 62853.

How to find the GCF of 62847 and 62853?

We will first find the prime factorization of 62847 and 62853. After we will calculate the factors of 62847 and 62853 and find the biggest common factor number .

Step-1: Prime Factorization of 62847

Prime factors of 62847 are 3, 6983. Prime factorization of 62847 in exponential form is:

62847 = 3² × 6983¹

Step-2: 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-3: Factors of 62847

List of positive integer factors of 62847 that divides 62847 without a remainder.

1, 3, 9, 6983, 20949

Step-4: Factors of 62853

List of positive integer factors of 62853 that divides 62847 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62847 and 62853. The biggest common factor number is the GCF number.
So the greatest common factor 62847 and 62853 is 3.

Also check out the Least Common Multiple of 62847 and 62853