What is the Greatest Common Factor of 42640 and 42654?

Greatest common factor (GCF) of 42640 and 42654 is 2.

GCF(42640,42654) = 2

We will now calculate the prime factors of 42640 and 42654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42640 and 42654.

How to find the GCF of 42640 and 42654?

We will first find the prime factorization of 42640 and 42654. After we will calculate the factors of 42640 and 42654 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 42654

Prime factors of 42654 are 2, 3, 7109. Prime factorization of 42654 in exponential form is:

42654 = 2¹ × 3¹ × 7109¹

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 42654

List of positive integer factors of 42654 that divides 42640 without a remainder.

1, 2, 3, 6, 7109, 14218, 21327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42640 and 42654. The biggest common factor number is the GCF number.
So the greatest common factor 42640 and 42654 is 2.

Also check out the Least Common Multiple of 42640 and 42654