What is the Greatest Common Factor of 61408 and 61425?

Greatest common factor (GCF) of 61408 and 61425 is 1.

GCF(61408,61425) = 1

We will now calculate the prime factors of 61408 and 61425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61408 and 61425.

How to find the GCF of 61408 and 61425?

We will first find the prime factorization of 61408 and 61425. After we will calculate the factors of 61408 and 61425 and find the biggest common factor number .

Step-1: Prime Factorization of 61408

Prime factors of 61408 are 2, 19, 101. Prime factorization of 61408 in exponential form is:

61408 = 2⁵ × 19¹ × 101¹

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 61408

List of positive integer factors of 61408 that divides 61408 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 101, 152, 202, 304, 404, 608, 808, 1616, 1919, 3232, 3838, 7676, 15352, 30704

Step-4: Factors of 61425

List of positive integer factors of 61425 that divides 61408 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 61408 and 61425. The biggest common factor number is the GCF number.
So the greatest common factor 61408 and 61425 is 1.

Also check out the Least Common Multiple of 61408 and 61425