What is the Greatest Common Factor of 62324 and 62334?

Greatest common factor (GCF) of 62324 and 62334 is 2.

GCF(62324,62334) = 2

We will now calculate the prime factors of 62324 and 62334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62324 and 62334.

How to find the GCF of 62324 and 62334?

We will first find the prime factorization of 62324 and 62334. After we will calculate the factors of 62324 and 62334 and find the biggest common factor number .

Step-1: Prime Factorization of 62324

Prime factors of 62324 are 2, 15581. Prime factorization of 62324 in exponential form is:

62324 = 2² × 15581¹

Step-2: Prime Factorization of 62334

Prime factors of 62334 are 2, 3, 3463. Prime factorization of 62334 in exponential form is:

62334 = 2¹ × 3² × 3463¹

Step-3: Factors of 62324

List of positive integer factors of 62324 that divides 62324 without a remainder.

1, 2, 4, 15581, 31162

Step-4: Factors of 62334

List of positive integer factors of 62334 that divides 62324 without a remainder.

1, 2, 3, 6, 9, 18, 3463, 6926, 10389, 20778, 31167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62324 and 62334. The biggest common factor number is the GCF number.
So the greatest common factor 62324 and 62334 is 2.

Also check out the Least Common Multiple of 62324 and 62334