What is the Greatest Common Factor of 42644 and 42664?

Greatest common factor (GCF) of 42644 and 42664 is 4.

GCF(42644,42664) = 4

We will now calculate the prime factors of 42644 and 42664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42644 and 42664.

How to find the GCF of 42644 and 42664?

We will first find the prime factorization of 42644 and 42664. After we will calculate the factors of 42644 and 42664 and find the biggest common factor number .

Step-1: Prime Factorization of 42644

Prime factors of 42644 are 2, 7, 1523. Prime factorization of 42644 in exponential form is:

42644 = 2² × 7¹ × 1523¹

Step-2: Prime Factorization of 42664

Prime factors of 42664 are 2, 5333. Prime factorization of 42664 in exponential form is:

42664 = 2³ × 5333¹

Step-3: Factors of 42644

List of positive integer factors of 42644 that divides 42644 without a remainder.

1, 2, 4, 7, 14, 28, 1523, 3046, 6092, 10661, 21322

Step-4: Factors of 42664

List of positive integer factors of 42664 that divides 42644 without a remainder.

1, 2, 4, 8, 5333, 10666, 21332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42644 and 42664. The biggest common factor number is the GCF number.
So the greatest common factor 42644 and 42664 is 4.

Also check out the Least Common Multiple of 42644 and 42664