What is the Greatest Common Factor of 62022 and 62031?

Greatest common factor (GCF) of 62022 and 62031 is 3.

GCF(62022,62031) = 3

We will now calculate the prime factors of 62022 and 62031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62022 and 62031.

How to find the GCF of 62022 and 62031?

We will first find the prime factorization of 62022 and 62031. After we will calculate the factors of 62022 and 62031 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62031

Prime factors of 62031 are 3, 23, 29, 31. Prime factorization of 62031 in exponential form is:

62031 = 3¹ × 23¹ × 29¹ × 31¹

Step-3: Factors of 62022

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

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

Step-4: Factors of 62031

List of positive integer factors of 62031 that divides 62022 without a remainder.

1, 3, 23, 29, 31, 69, 87, 93, 667, 713, 899, 2001, 2139, 2697, 20677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62022 and 62031. The biggest common factor number is the GCF number.
So the greatest common factor 62022 and 62031 is 3.

Also check out the Least Common Multiple of 62022 and 62031