What is the Greatest Common Factor of 66035 and 66040?

Greatest common factor (GCF) of 66035 and 66040 is 5.

GCF(66035,66040) = 5

We will now calculate the prime factors of 66035 and 66040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66035 and 66040.

How to find the GCF of 66035 and 66040?

We will first find the prime factorization of 66035 and 66040. After we will calculate the factors of 66035 and 66040 and find the biggest common factor number .

Step-1: Prime Factorization of 66035

Prime factors of 66035 are 5, 47, 281. Prime factorization of 66035 in exponential form is:

66035 = 5¹ × 47¹ × 281¹

Step-2: Prime Factorization of 66040

Prime factors of 66040 are 2, 5, 13, 127. Prime factorization of 66040 in exponential form is:

66040 = 2³ × 5¹ × 13¹ × 127¹

Step-3: Factors of 66035

List of positive integer factors of 66035 that divides 66035 without a remainder.

1, 5, 47, 235, 281, 1405, 13207

Step-4: Factors of 66040

List of positive integer factors of 66040 that divides 66035 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 127, 130, 254, 260, 508, 520, 635, 1016, 1270, 1651, 2540, 3302, 5080, 6604, 8255, 13208, 16510, 33020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66035 and 66040. The biggest common factor number is the GCF number.
So the greatest common factor 66035 and 66040 is 5.

Also check out the Least Common Multiple of 66035 and 66040