What is the Greatest Common Factor of 61290 and 61306?

Greatest common factor (GCF) of 61290 and 61306 is 2.

GCF(61290,61306) = 2

We will now calculate the prime factors of 61290 and 61306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61290 and 61306.

How to find the GCF of 61290 and 61306?

We will first find the prime factorization of 61290 and 61306. After we will calculate the factors of 61290 and 61306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61306

Prime factors of 61306 are 2, 7, 29, 151. Prime factorization of 61306 in exponential form is:

61306 = 2¹ × 7¹ × 29¹ × 151¹

Step-3: Factors of 61290

List of positive integer factors of 61290 that divides 61290 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

Step-4: Factors of 61306

List of positive integer factors of 61306 that divides 61290 without a remainder.

1, 2, 7, 14, 29, 58, 151, 203, 302, 406, 1057, 2114, 4379, 8758, 30653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61290 and 61306. The biggest common factor number is the GCF number.
So the greatest common factor 61290 and 61306 is 2.

Also check out the Least Common Multiple of 61290 and 61306