What is the Greatest Common Factor of 42640 and 42652?

Greatest common factor (GCF) of 42640 and 42652 is 4.

GCF(42640,42652) = 4

We will now calculate the prime factors of 42640 and 42652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42640 and 42652.

How to find the GCF of 42640 and 42652?

We will first find the prime factorization of 42640 and 42652. After we will calculate the factors of 42640 and 42652 and find the biggest common factor number .

Step-1: Prime Factorization of 42640

Prime factors of 42640 are 2, 5, 13, 41. Prime factorization of 42640 in exponential form is:

42640 = 2⁴ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 42652

Prime factors of 42652 are 2, 10663. Prime factorization of 42652 in exponential form is:

42652 = 2² × 10663¹

Step-3: Factors of 42640

List of positive integer factors of 42640 that divides 42640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 41, 52, 65, 80, 82, 104, 130, 164, 205, 208, 260, 328, 410, 520, 533, 656, 820, 1040, 1066, 1640, 2132, 2665, 3280, 4264, 5330, 8528, 10660, 21320

Step-4: Factors of 42652

List of positive integer factors of 42652 that divides 42640 without a remainder.

1, 2, 4, 10663, 21326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42640 and 42652. The biggest common factor number is the GCF number.
So the greatest common factor 42640 and 42652 is 4.

Also check out the Least Common Multiple of 42640 and 42652