What is the Greatest Common Factor of 61427 and 61444?

Greatest common factor (GCF) of 61427 and 61444 is 1.

GCF(61427,61444) = 1

We will now calculate the prime factors of 61427 and 61444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61427 and 61444.

How to find the GCF of 61427 and 61444?

We will first find the prime factorization of 61427 and 61444. After we will calculate the factors of 61427 and 61444 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 61444

Prime factors of 61444 are 2, 15361. Prime factorization of 61444 in exponential form is:

61444 = 2² × 15361¹

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 61444

List of positive integer factors of 61444 that divides 61427 without a remainder.

1, 2, 4, 15361, 30722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61427 and 61444. The biggest common factor number is the GCF number.
So the greatest common factor 61427 and 61444 is 1.

Also check out the Least Common Multiple of 61427 and 61444