What is the Greatest Common Factor of 64144 and 64162?

Greatest common factor (GCF) of 64144 and 64162 is 2.

GCF(64144,64162) = 2

We will now calculate the prime factors of 64144 and 64162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64144 and 64162.

How to find the GCF of 64144 and 64162?

We will first find the prime factorization of 64144 and 64162. After we will calculate the factors of 64144 and 64162 and find the biggest common factor number .

Step-1: Prime Factorization of 64144

Prime factors of 64144 are 2, 19, 211. Prime factorization of 64144 in exponential form is:

64144 = 2⁴ × 19¹ × 211¹

Step-2: Prime Factorization of 64162

Prime factors of 64162 are 2, 7, 4583. Prime factorization of 64162 in exponential form is:

64162 = 2¹ × 7¹ × 4583¹

Step-3: Factors of 64144

List of positive integer factors of 64144 that divides 64144 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 211, 304, 422, 844, 1688, 3376, 4009, 8018, 16036, 32072

Step-4: Factors of 64162

List of positive integer factors of 64162 that divides 64144 without a remainder.

1, 2, 7, 14, 4583, 9166, 32081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64144 and 64162. The biggest common factor number is the GCF number.
So the greatest common factor 64144 and 64162 is 2.

Also check out the Least Common Multiple of 64144 and 64162