What is the Greatest Common Factor of 39642 and 39652?

Greatest common factor (GCF) of 39642 and 39652 is 2.

GCF(39642,39652) = 2

We will now calculate the prime factors of 39642 and 39652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39642 and 39652.

How to find the GCF of 39642 and 39652?

We will first find the prime factorization of 39642 and 39652. After we will calculate the factors of 39642 and 39652 and find the biggest common factor number .

Step-1: Prime Factorization of 39642

Prime factors of 39642 are 2, 3, 6607. Prime factorization of 39642 in exponential form is:

39642 = 2¹ × 3¹ × 6607¹

Step-2: Prime Factorization of 39652

Prime factors of 39652 are 2, 23, 431. Prime factorization of 39652 in exponential form is:

39652 = 2² × 23¹ × 431¹

Step-3: Factors of 39642

List of positive integer factors of 39642 that divides 39642 without a remainder.

1, 2, 3, 6, 6607, 13214, 19821

Step-4: Factors of 39652

List of positive integer factors of 39652 that divides 39642 without a remainder.

1, 2, 4, 23, 46, 92, 431, 862, 1724, 9913, 19826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39642 and 39652. The biggest common factor number is the GCF number.
So the greatest common factor 39642 and 39652 is 2.

Also check out the Least Common Multiple of 39642 and 39652