What is the Greatest Common Factor of 62085 and 62103?

Greatest common factor (GCF) of 62085 and 62103 is 3.

GCF(62085,62103) = 3

We will now calculate the prime factors of 62085 and 62103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62085 and 62103.

How to find the GCF of 62085 and 62103?

We will first find the prime factorization of 62085 and 62103. After we will calculate the factors of 62085 and 62103 and find the biggest common factor number .

Step-1: Prime Factorization of 62085

Prime factors of 62085 are 3, 5, 4139. Prime factorization of 62085 in exponential form is:

62085 = 3¹ × 5¹ × 4139¹

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 62085

List of positive integer factors of 62085 that divides 62085 without a remainder.

1, 3, 5, 15, 4139, 12417, 20695

Step-4: Factors of 62103

List of positive integer factors of 62103 that divides 62085 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62085 and 62103. The biggest common factor number is the GCF number.
So the greatest common factor 62085 and 62103 is 3.

Also check out the Least Common Multiple of 62085 and 62103