What is the Greatest Common Factor of 39616 and 39634?

Greatest common factor (GCF) of 39616 and 39634 is 2.

GCF(39616,39634) = 2

We will now calculate the prime factors of 39616 and 39634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39616 and 39634.

How to find the GCF of 39616 and 39634?

We will first find the prime factorization of 39616 and 39634. After we will calculate the factors of 39616 and 39634 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 39634

Prime factors of 39634 are 2, 7, 19, 149. Prime factorization of 39634 in exponential form is:

39634 = 2¹ × 7¹ × 19¹ × 149¹

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 39634

List of positive integer factors of 39634 that divides 39616 without a remainder.

1, 2, 7, 14, 19, 38, 133, 149, 266, 298, 1043, 2086, 2831, 5662, 19817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39616 and 39634. The biggest common factor number is the GCF number.
So the greatest common factor 39616 and 39634 is 2.

Also check out the Least Common Multiple of 39616 and 39634