What is the Greatest Common Factor of 61266 and 61280?

Greatest common factor (GCF) of 61266 and 61280 is 2.

GCF(61266,61280) = 2

We will now calculate the prime factors of 61266 and 61280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61266 and 61280.

How to find the GCF of 61266 and 61280?

We will first find the prime factorization of 61266 and 61280. After we will calculate the factors of 61266 and 61280 and find the biggest common factor number .

Step-1: Prime Factorization of 61266

Prime factors of 61266 are 2, 3, 10211. Prime factorization of 61266 in exponential form is:

61266 = 2¹ × 3¹ × 10211¹

Step-2: Prime Factorization of 61280

Prime factors of 61280 are 2, 5, 383. Prime factorization of 61280 in exponential form is:

61280 = 2⁵ × 5¹ × 383¹

Step-3: Factors of 61266

List of positive integer factors of 61266 that divides 61266 without a remainder.

1, 2, 3, 6, 10211, 20422, 30633

Step-4: Factors of 61280

List of positive integer factors of 61280 that divides 61266 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 383, 766, 1532, 1915, 3064, 3830, 6128, 7660, 12256, 15320, 30640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61266 and 61280. The biggest common factor number is the GCF number.
So the greatest common factor 61266 and 61280 is 2.

Also check out the Least Common Multiple of 61266 and 61280