What is the Greatest Common Factor of 16260 and 16274?

Greatest common factor (GCF) of 16260 and 16274 is 2.

GCF(16260,16274) = 2

We will now calculate the prime factors of 16260 and 16274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16260 and 16274.

How to find the GCF of 16260 and 16274?

We will first find the prime factorization of 16260 and 16274. After we will calculate the factors of 16260 and 16274 and find the biggest common factor number .

Step-1: Prime Factorization of 16260

Prime factors of 16260 are 2, 3, 5, 271. Prime factorization of 16260 in exponential form is:

16260 = 2² × 3¹ × 5¹ × 271¹

Step-2: Prime Factorization of 16274

Prime factors of 16274 are 2, 79, 103. Prime factorization of 16274 in exponential form is:

16274 = 2¹ × 79¹ × 103¹

Step-3: Factors of 16260

List of positive integer factors of 16260 that divides 16260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 271, 542, 813, 1084, 1355, 1626, 2710, 3252, 4065, 5420, 8130

Step-4: Factors of 16274

List of positive integer factors of 16274 that divides 16260 without a remainder.

1, 2, 79, 103, 158, 206, 8137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16260 and 16274. The biggest common factor number is the GCF number.
So the greatest common factor 16260 and 16274 is 2.

Also check out the Least Common Multiple of 16260 and 16274