What is the Greatest Common Factor of 64236 and 64252?

Greatest common factor (GCF) of 64236 and 64252 is 4.

GCF(64236,64252) = 4

We will now calculate the prime factors of 64236 and 64252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64236 and 64252.

How to find the GCF of 64236 and 64252?

We will first find the prime factorization of 64236 and 64252. After we will calculate the factors of 64236 and 64252 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 64252

Prime factors of 64252 are 2, 16063. Prime factorization of 64252 in exponential form is:

64252 = 2² × 16063¹

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 64252

List of positive integer factors of 64252 that divides 64236 without a remainder.

1, 2, 4, 16063, 32126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64236 and 64252. The biggest common factor number is the GCF number.
So the greatest common factor 64236 and 64252 is 4.

Also check out the Least Common Multiple of 64236 and 64252