What is the Greatest Common Factor of 39616 and 39622?

Greatest common factor (GCF) of 39616 and 39622 is 2.

GCF(39616,39622) = 2

We will now calculate the prime factors of 39616 and 39622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39616 and 39622.

How to find the GCF of 39616 and 39622?

We will first find the prime factorization of 39616 and 39622. After we will calculate the factors of 39616 and 39622 and find the biggest common factor number .

Step-1: Prime Factorization of 39616

Prime factors of 39616 are 2, 619. Prime factorization of 39616 in exponential form is:

39616 = 2⁶ × 619¹

Step-2: Prime Factorization of 39622

Prime factors of 39622 are 2, 11, 1801. Prime factorization of 39622 in exponential form is:

39622 = 2¹ × 11¹ × 1801¹

Step-3: Factors of 39616

List of positive integer factors of 39616 that divides 39616 without a remainder.

1, 2, 4, 8, 16, 32, 64, 619, 1238, 2476, 4952, 9904, 19808

Step-4: Factors of 39622

List of positive integer factors of 39622 that divides 39616 without a remainder.

1, 2, 11, 22, 1801, 3602, 19811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39616 and 39622. The biggest common factor number is the GCF number.
So the greatest common factor 39616 and 39622 is 2.

Also check out the Least Common Multiple of 39616 and 39622