What is the Greatest Common Factor of 62097 and 62103?

Greatest common factor (GCF) of 62097 and 62103 is 3.

GCF(62097,62103) = 3

We will now calculate the prime factors of 62097 and 62103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62097 and 62103.

How to find the GCF of 62097 and 62103?

We will first find the prime factorization of 62097 and 62103. After we will calculate the factors of 62097 and 62103 and find the biggest common factor number .

Step-1: Prime Factorization of 62097

Prime factors of 62097 are 3, 7, 2957. Prime factorization of 62097 in exponential form is:

62097 = 3¹ × 7¹ × 2957¹

Step-2: Prime Factorization of 62103

Prime factors of 62103 are 3, 127, 163. Prime factorization of 62103 in exponential form is:

62103 = 3¹ × 127¹ × 163¹

Step-3: Factors of 62097

List of positive integer factors of 62097 that divides 62097 without a remainder.

1, 3, 7, 21, 2957, 8871, 20699

Step-4: Factors of 62103

List of positive integer factors of 62103 that divides 62097 without a remainder.

1, 3, 127, 163, 381, 489, 20701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62097 and 62103. The biggest common factor number is the GCF number.
So the greatest common factor 62097 and 62103 is 3.

Also check out the Least Common Multiple of 62097 and 62103