What is the Greatest Common Factor of 61427 and 61445?

Greatest common factor (GCF) of 61427 and 61445 is 1.

GCF(61427,61445) = 1

We will now calculate the prime factors of 61427 and 61445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61427 and 61445.

How to find the GCF of 61427 and 61445?

We will first find the prime factorization of 61427 and 61445. After we will calculate the factors of 61427 and 61445 and find the biggest common factor number .

Step-1: Prime Factorization of 61427

Prime factors of 61427 are 19, 53, 61. Prime factorization of 61427 in exponential form is:

61427 = 19¹ × 53¹ × 61¹

Step-2: Prime Factorization of 61445

Prime factors of 61445 are 5, 12289. Prime factorization of 61445 in exponential form is:

61445 = 5¹ × 12289¹

Step-3: Factors of 61427

List of positive integer factors of 61427 that divides 61427 without a remainder.

1, 19, 53, 61, 1007, 1159, 3233

Step-4: Factors of 61445

List of positive integer factors of 61445 that divides 61427 without a remainder.

1, 5, 12289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61427 and 61445. The biggest common factor number is the GCF number.
So the greatest common factor 61427 and 61445 is 1.

Also check out the Least Common Multiple of 61427 and 61445