What is the Greatest Common Factor of 39634 and 39644?

Greatest common factor (GCF) of 39634 and 39644 is 2.

GCF(39634,39644) = 2

We will now calculate the prime factors of 39634 and 39644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39634 and 39644.

How to find the GCF of 39634 and 39644?

We will first find the prime factorization of 39634 and 39644. After we will calculate the factors of 39634 and 39644 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39644

Prime factors of 39644 are 2, 11, 17, 53. Prime factorization of 39644 in exponential form is:

39644 = 2² × 11¹ × 17¹ × 53¹

Step-3: Factors of 39634

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

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

Step-4: Factors of 39644

List of positive integer factors of 39644 that divides 39634 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 53, 68, 106, 187, 212, 374, 583, 748, 901, 1166, 1802, 2332, 3604, 9911, 19822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39634 and 39644. The biggest common factor number is the GCF number.
So the greatest common factor 39634 and 39644 is 2.

Also check out the Least Common Multiple of 39634 and 39644