What is the Greatest Common Factor of 62023 and 62036?

Greatest common factor (GCF) of 62023 and 62036 is 13.

GCF(62023,62036) = 13

We will now calculate the prime factors of 62023 and 62036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62023 and 62036.

How to find the GCF of 62023 and 62036?

We will first find the prime factorization of 62023 and 62036. After we will calculate the factors of 62023 and 62036 and find the biggest common factor number .

Step-1: Prime Factorization of 62023

Prime factors of 62023 are 13, 367. Prime factorization of 62023 in exponential form is:

62023 = 13² × 367¹

Step-2: Prime Factorization of 62036

Prime factors of 62036 are 2, 13, 1193. Prime factorization of 62036 in exponential form is:

62036 = 2² × 13¹ × 1193¹

Step-3: Factors of 62023

List of positive integer factors of 62023 that divides 62023 without a remainder.

1, 13, 169, 367, 4771

Step-4: Factors of 62036

List of positive integer factors of 62036 that divides 62023 without a remainder.

1, 2, 4, 13, 26, 52, 1193, 2386, 4772, 15509, 31018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62023 and 62036. The biggest common factor number is the GCF number.
So the greatest common factor 62023 and 62036 is 13.

Also check out the Least Common Multiple of 62023 and 62036