What is the Greatest Common Factor of 62082 and 62102?

Greatest common factor (GCF) of 62082 and 62102 is 2.

GCF(62082,62102) = 2

We will now calculate the prime factors of 62082 and 62102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62082 and 62102.

How to find the GCF of 62082 and 62102?

We will first find the prime factorization of 62082 and 62102. After we will calculate the factors of 62082 and 62102 and find the biggest common factor number .

Step-1: Prime Factorization of 62082

Prime factors of 62082 are 2, 3, 3449. Prime factorization of 62082 in exponential form is:

62082 = 2¹ × 3² × 3449¹

Step-2: Prime Factorization of 62102

Prime factors of 62102 are 2, 31051. Prime factorization of 62102 in exponential form is:

62102 = 2¹ × 31051¹

Step-3: Factors of 62082

List of positive integer factors of 62082 that divides 62082 without a remainder.

1, 2, 3, 6, 9, 18, 3449, 6898, 10347, 20694, 31041

Step-4: Factors of 62102

List of positive integer factors of 62102 that divides 62082 without a remainder.

1, 2, 31051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62082 and 62102. The biggest common factor number is the GCF number.
So the greatest common factor 62082 and 62102 is 2.

Also check out the Least Common Multiple of 62082 and 62102