What is the Greatest Common Factor of 62006 and 62022?

Greatest common factor (GCF) of 62006 and 62022 is 2.

GCF(62006,62022) = 2

We will now calculate the prime factors of 62006 and 62022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62006 and 62022.

How to find the GCF of 62006 and 62022?

We will first find the prime factorization of 62006 and 62022. After we will calculate the factors of 62006 and 62022 and find the biggest common factor number .

Step-1: Prime Factorization of 62006

Prime factors of 62006 are 2, 7, 43, 103. Prime factorization of 62006 in exponential form is:

62006 = 2¹ × 7¹ × 43¹ × 103¹

Step-2: Prime Factorization of 62022

Prime factors of 62022 are 2, 3, 10337. Prime factorization of 62022 in exponential form is:

62022 = 2¹ × 3¹ × 10337¹

Step-3: Factors of 62006

List of positive integer factors of 62006 that divides 62006 without a remainder.

1, 2, 7, 14, 43, 86, 103, 206, 301, 602, 721, 1442, 4429, 8858, 31003

Step-4: Factors of 62022

List of positive integer factors of 62022 that divides 62006 without a remainder.

1, 2, 3, 6, 10337, 20674, 31011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62006 and 62022. The biggest common factor number is the GCF number.
So the greatest common factor 62006 and 62022 is 2.

Also check out the Least Common Multiple of 62006 and 62022