What is the Greatest Common Factor of 40642 and 40660?

Greatest common factor (GCF) of 40642 and 40660 is 2.

GCF(40642,40660) = 2

We will now calculate the prime factors of 40642 and 40660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40642 and 40660.

How to find the GCF of 40642 and 40660?

We will first find the prime factorization of 40642 and 40660. After we will calculate the factors of 40642 and 40660 and find the biggest common factor number .

Step-1: Prime Factorization of 40642

Prime factors of 40642 are 2, 7, 2903. Prime factorization of 40642 in exponential form is:

40642 = 2¹ × 7¹ × 2903¹

Step-2: Prime Factorization of 40660

Prime factors of 40660 are 2, 5, 19, 107. Prime factorization of 40660 in exponential form is:

40660 = 2² × 5¹ × 19¹ × 107¹

Step-3: Factors of 40642

List of positive integer factors of 40642 that divides 40642 without a remainder.

1, 2, 7, 14, 2903, 5806, 20321

Step-4: Factors of 40660

List of positive integer factors of 40660 that divides 40642 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 107, 190, 214, 380, 428, 535, 1070, 2033, 2140, 4066, 8132, 10165, 20330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40642 and 40660. The biggest common factor number is the GCF number.
So the greatest common factor 40642 and 40660 is 2.

Also check out the Least Common Multiple of 40642 and 40660