What is the Greatest Common Factor of 64242 and 64253?

Greatest common factor (GCF) of 64242 and 64253 is 1.

GCF(64242,64253) = 1

We will now calculate the prime factors of 64242 and 64253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64242 and 64253.

How to find the GCF of 64242 and 64253?

We will first find the prime factorization of 64242 and 64253. After we will calculate the factors of 64242 and 64253 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64253

Prime factors of 64253 are 7, 67, 137. Prime factorization of 64253 in exponential form is:

64253 = 7¹ × 67¹ × 137¹

Step-3: Factors of 64242

List of positive integer factors of 64242 that divides 64242 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

Step-4: Factors of 64253

List of positive integer factors of 64253 that divides 64242 without a remainder.

1, 7, 67, 137, 469, 959, 9179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64242 and 64253. The biggest common factor number is the GCF number.
So the greatest common factor 64242 and 64253 is 1.

Also check out the Least Common Multiple of 64242 and 64253