What is the Greatest Common Factor of 21035 and 21040?

Greatest common factor (GCF) of 21035 and 21040 is 5.

GCF(21035,21040) = 5

We will now calculate the prime factors of 21035 and 21040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21035 and 21040.

How to find the GCF of 21035 and 21040?

We will first find the prime factorization of 21035 and 21040. After we will calculate the factors of 21035 and 21040 and find the biggest common factor number .

Step-1: Prime Factorization of 21035

Prime factors of 21035 are 5, 7, 601. Prime factorization of 21035 in exponential form is:

21035 = 5¹ × 7¹ × 601¹

Step-2: Prime Factorization of 21040

Prime factors of 21040 are 2, 5, 263. Prime factorization of 21040 in exponential form is:

21040 = 2⁴ × 5¹ × 263¹

Step-3: Factors of 21035

List of positive integer factors of 21035 that divides 21035 without a remainder.

1, 5, 7, 35, 601, 3005, 4207

Step-4: Factors of 21040

List of positive integer factors of 21040 that divides 21035 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 263, 526, 1052, 1315, 2104, 2630, 4208, 5260, 10520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21035 and 21040. The biggest common factor number is the GCF number.
So the greatest common factor 21035 and 21040 is 5.

Also check out the Least Common Multiple of 21035 and 21040