What is the Greatest Common Factor of 64112 and 64122?

Greatest common factor (GCF) of 64112 and 64122 is 2.

GCF(64112,64122) = 2

We will now calculate the prime factors of 64112 and 64122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64112 and 64122.

How to find the GCF of 64112 and 64122?

We will first find the prime factorization of 64112 and 64122. After we will calculate the factors of 64112 and 64122 and find the biggest common factor number .

Step-1: Prime Factorization of 64112

Prime factors of 64112 are 2, 4007. Prime factorization of 64112 in exponential form is:

64112 = 2⁴ × 4007¹

Step-2: Prime Factorization of 64122

Prime factors of 64122 are 2, 3, 10687. Prime factorization of 64122 in exponential form is:

64122 = 2¹ × 3¹ × 10687¹

Step-3: Factors of 64112

List of positive integer factors of 64112 that divides 64112 without a remainder.

1, 2, 4, 8, 16, 4007, 8014, 16028, 32056

Step-4: Factors of 64122

List of positive integer factors of 64122 that divides 64112 without a remainder.

1, 2, 3, 6, 10687, 21374, 32061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64112 and 64122. The biggest common factor number is the GCF number.
So the greatest common factor 64112 and 64122 is 2.

Also check out the Least Common Multiple of 64112 and 64122