What is the Greatest Common Factor of 3250 and 3262?

Greatest common factor (GCF) of 3250 and 3262 is 2.

GCF(3250,3262) = 2

We will now calculate the prime factors of 3250 and 3262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3250 and 3262.

How to find the GCF of 3250 and 3262?

We will first find the prime factorization of 3250 and 3262. After we will calculate the factors of 3250 and 3262 and find the biggest common factor number .

Step-1: Prime Factorization of 3250

Prime factors of 3250 are 2, 5, 13. Prime factorization of 3250 in exponential form is:

3250 = 2¹ × 5³ × 13¹

Step-2: Prime Factorization of 3262

Prime factors of 3262 are 2, 7, 233. Prime factorization of 3262 in exponential form is:

3262 = 2¹ × 7¹ × 233¹

Step-3: Factors of 3250

List of positive integer factors of 3250 that divides 3250 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625

Step-4: Factors of 3262

List of positive integer factors of 3262 that divides 3250 without a remainder.

1, 2, 7, 14, 233, 466, 1631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3250 and 3262. The biggest common factor number is the GCF number.
So the greatest common factor 3250 and 3262 is 2.

Also check out the Least Common Multiple of 3250 and 3262