What is the Greatest Common Factor of 61290 and 61295?

Greatest common factor (GCF) of 61290 and 61295 is 5.

GCF(61290,61295) = 5

We will now calculate the prime factors of 61290 and 61295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61290 and 61295.

How to find the GCF of 61290 and 61295?

We will first find the prime factorization of 61290 and 61295. After we will calculate the factors of 61290 and 61295 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 61295

Prime factors of 61295 are 5, 13, 23, 41. Prime factorization of 61295 in exponential form is:

61295 = 5¹ × 13¹ × 23¹ × 41¹

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 61295

List of positive integer factors of 61295 that divides 61290 without a remainder.

1, 5, 13, 23, 41, 65, 115, 205, 299, 533, 943, 1495, 2665, 4715, 12259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61290 and 61295. The biggest common factor number is the GCF number.
So the greatest common factor 61290 and 61295 is 5.

Also check out the Least Common Multiple of 61290 and 61295