What is the Greatest Common Factor of 3220 and 3236?

Greatest common factor (GCF) of 3220 and 3236 is 4.

GCF(3220,3236) = 4

We will now calculate the prime factors of 3220 and 3236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3220 and 3236.

How to find the GCF of 3220 and 3236?

We will first find the prime factorization of 3220 and 3236. After we will calculate the factors of 3220 and 3236 and find the biggest common factor number .

Step-1: Prime Factorization of 3220

Prime factors of 3220 are 2, 5, 7, 23. Prime factorization of 3220 in exponential form is:

3220 = 2² × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 3236

Prime factors of 3236 are 2, 809. Prime factorization of 3236 in exponential form is:

3236 = 2² × 809¹

Step-3: Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610

Step-4: Factors of 3236

List of positive integer factors of 3236 that divides 3220 without a remainder.

1, 2, 4, 809, 1618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3220 and 3236. The biggest common factor number is the GCF number.
So the greatest common factor 3220 and 3236 is 4.

Also check out the Least Common Multiple of 3220 and 3236