What is the Greatest Common Factor of 34244 and 34260?

Greatest common factor (GCF) of 34244 and 34260 is 4.

GCF(34244,34260) = 4

We will now calculate the prime factors of 34244 and 34260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34244 and 34260.

How to find the GCF of 34244 and 34260?

We will first find the prime factorization of 34244 and 34260. After we will calculate the factors of 34244 and 34260 and find the biggest common factor number .

Step-1: Prime Factorization of 34244

Prime factors of 34244 are 2, 7, 1223. Prime factorization of 34244 in exponential form is:

34244 = 2² × 7¹ × 1223¹

Step-2: Prime Factorization of 34260

Prime factors of 34260 are 2, 3, 5, 571. Prime factorization of 34260 in exponential form is:

34260 = 2² × 3¹ × 5¹ × 571¹

Step-3: Factors of 34244

List of positive integer factors of 34244 that divides 34244 without a remainder.

1, 2, 4, 7, 14, 28, 1223, 2446, 4892, 8561, 17122

Step-4: Factors of 34260

List of positive integer factors of 34260 that divides 34244 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 571, 1142, 1713, 2284, 2855, 3426, 5710, 6852, 8565, 11420, 17130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34244 and 34260. The biggest common factor number is the GCF number.
So the greatest common factor 34244 and 34260 is 4.

Also check out the Least Common Multiple of 34244 and 34260