What is the Greatest Common Factor of 64230 and 64242?

Greatest common factor (GCF) of 64230 and 64242 is 6.

GCF(64230,64242) = 6

We will now calculate the prime factors of 64230 and 64242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64230 and 64242.

How to find the GCF of 64230 and 64242?

We will first find the prime factorization of 64230 and 64242. After we will calculate the factors of 64230 and 64242 and find the biggest common factor number .

Step-1: Prime Factorization of 64230

Prime factors of 64230 are 2, 3, 5, 2141. Prime factorization of 64230 in exponential form is:

64230 = 2¹ × 3¹ × 5¹ × 2141¹

Step-2: Prime Factorization of 64242

Prime factors of 64242 are 2, 3, 43, 83. Prime factorization of 64242 in exponential form is:

64242 = 2¹ × 3² × 43¹ × 83¹

Step-3: Factors of 64230

List of positive integer factors of 64230 that divides 64230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2141, 4282, 6423, 10705, 12846, 21410, 32115

Step-4: Factors of 64242

List of positive integer factors of 64242 that divides 64230 without a remainder.

1, 2, 3, 6, 9, 18, 43, 83, 86, 129, 166, 249, 258, 387, 498, 747, 774, 1494, 3569, 7138, 10707, 21414, 32121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64230 and 64242. The biggest common factor number is the GCF number.
So the greatest common factor 64230 and 64242 is 6.

Also check out the Least Common Multiple of 64230 and 64242