What is the Greatest Common Factor of 64236 and 64254?

Greatest common factor (GCF) of 64236 and 64254 is 6.

GCF(64236,64254) = 6

We will now calculate the prime factors of 64236 and 64254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64236 and 64254.

How to find the GCF of 64236 and 64254?

We will first find the prime factorization of 64236 and 64254. After we will calculate the factors of 64236 and 64254 and find the biggest common factor number .

Step-1: Prime Factorization of 64236

Prime factors of 64236 are 2, 3, 53, 101. Prime factorization of 64236 in exponential form is:

64236 = 2² × 3¹ × 53¹ × 101¹

Step-2: Prime Factorization of 64254

Prime factors of 64254 are 2, 3, 10709. Prime factorization of 64254 in exponential form is:

64254 = 2¹ × 3¹ × 10709¹

Step-3: Factors of 64236

List of positive integer factors of 64236 that divides 64236 without a remainder.

1, 2, 3, 4, 6, 12, 53, 101, 106, 159, 202, 212, 303, 318, 404, 606, 636, 1212, 5353, 10706, 16059, 21412, 32118

Step-4: Factors of 64254

List of positive integer factors of 64254 that divides 64236 without a remainder.

1, 2, 3, 6, 10709, 21418, 32127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64236 and 64254. The biggest common factor number is the GCF number.
So the greatest common factor 64236 and 64254 is 6.

Also check out the Least Common Multiple of 64236 and 64254