What is the Greatest Common Factor of 61280 and 61290?

Greatest common factor (GCF) of 61280 and 61290 is 10.

GCF(61280,61290) = 10

We will now calculate the prime factors of 61280 and 61290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61280 and 61290.

How to find the GCF of 61280 and 61290?

We will first find the prime factorization of 61280 and 61290. After we will calculate the factors of 61280 and 61290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61290

Prime factors of 61290 are 2, 3, 5, 227. Prime factorization of 61290 in exponential form is:

61290 = 2¹ × 3³ × 5¹ × 227¹

Step-3: Factors of 61280

List of positive integer factors of 61280 that divides 61280 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

Step-4: Factors of 61290

List of positive integer factors of 61290 that divides 61280 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 227, 270, 454, 681, 1135, 1362, 2043, 2270, 3405, 4086, 6129, 6810, 10215, 12258, 20430, 30645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61280 and 61290. The biggest common factor number is the GCF number.
So the greatest common factor 61280 and 61290 is 10.

Also check out the Least Common Multiple of 61280 and 61290