What is the Greatest Common Factor of 61409 and 61425?

Greatest common factor (GCF) of 61409 and 61425 is 1.

GCF(61409,61425) = 1

We will now calculate the prime factors of 61409 and 61425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61409 and 61425.

How to find the GCF of 61409 and 61425?

We will first find the prime factorization of 61409 and 61425. After we will calculate the factors of 61409 and 61425 and find the biggest common factor number .

Step-1: Prime Factorization of 61409

Prime factors of 61409 are 61409. Prime factorization of 61409 in exponential form is:

61409 = 61409¹

Step-2: Prime Factorization of 61425

Prime factors of 61425 are 3, 5, 7, 13. Prime factorization of 61425 in exponential form is:

61425 = 3³ × 5² × 7¹ × 13¹

Step-3: Factors of 61409

List of positive integer factors of 61409 that divides 61409 without a remainder.

Step-4: Factors of 61425

List of positive integer factors of 61425 that divides 61409 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 25, 27, 35, 39, 45, 63, 65, 75, 91, 105, 117, 135, 175, 189, 195, 225, 273, 315, 325, 351, 455, 525, 585, 675, 819, 945, 975, 1365, 1575, 1755, 2275, 2457, 2925, 4095, 4725, 6825, 8775, 12285, 20475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61409 and 61425. The biggest common factor number is the GCF number.
So the greatest common factor 61409 and 61425 is 1.

Also check out the Least Common Multiple of 61409 and 61425