What is the Greatest Common Factor of 64252 and 64270?

Greatest common factor (GCF) of 64252 and 64270 is 2.

GCF(64252,64270) = 2

We will now calculate the prime factors of 64252 and 64270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64252 and 64270.

How to find the GCF of 64252 and 64270?

We will first find the prime factorization of 64252 and 64270. After we will calculate the factors of 64252 and 64270 and find the biggest common factor number .

Step-1: Prime Factorization of 64252

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

64252 = 2² × 16063¹

Step-2: Prime Factorization of 64270

Prime factors of 64270 are 2, 5, 6427. Prime factorization of 64270 in exponential form is:

64270 = 2¹ × 5¹ × 6427¹

Step-3: Factors of 64252

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

1, 2, 4, 16063, 32126

Step-4: Factors of 64270

List of positive integer factors of 64270 that divides 64252 without a remainder.

1, 2, 5, 10, 6427, 12854, 32135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64252 and 64270. The biggest common factor number is the GCF number.
So the greatest common factor 64252 and 64270 is 2.

Also check out the Least Common Multiple of 64252 and 64270