What is the Greatest Common Factor of 62082 and 62090?

Greatest common factor (GCF) of 62082 and 62090 is 2.

GCF(62082,62090) = 2

We will now calculate the prime factors of 62082 and 62090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62082 and 62090.

How to find the GCF of 62082 and 62090?

We will first find the prime factorization of 62082 and 62090. After we will calculate the factors of 62082 and 62090 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 62090

Prime factors of 62090 are 2, 5, 7, 887. Prime factorization of 62090 in exponential form is:

62090 = 2¹ × 5¹ × 7¹ × 887¹

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 62090

List of positive integer factors of 62090 that divides 62082 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 887, 1774, 4435, 6209, 8870, 12418, 31045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62082 and 62090. The biggest common factor number is the GCF number.
So the greatest common factor 62082 and 62090 is 2.

Also check out the Least Common Multiple of 62082 and 62090