What is the Greatest Common Factor of 61412 and 61425?

Greatest common factor (GCF) of 61412 and 61425 is 13.

GCF(61412,61425) = 13

We will now calculate the prime factors of 61412 and 61425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61412 and 61425.

How to find the GCF of 61412 and 61425?

We will first find the prime factorization of 61412 and 61425. After we will calculate the factors of 61412 and 61425 and find the biggest common factor number .

Step-1: Prime Factorization of 61412

Prime factors of 61412 are 2, 13, 1181. Prime factorization of 61412 in exponential form is:

61412 = 2² × 13¹ × 1181¹

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 61412

List of positive integer factors of 61412 that divides 61412 without a remainder.

1, 2, 4, 13, 26, 52, 1181, 2362, 4724, 15353, 30706

Step-4: Factors of 61425

List of positive integer factors of 61425 that divides 61412 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 61412 and 61425. The biggest common factor number is the GCF number.
So the greatest common factor 61412 and 61425 is 13.

Also check out the Least Common Multiple of 61412 and 61425