What is the Greatest Common Factor of 61408 and 61427?

Greatest common factor (GCF) of 61408 and 61427 is 19.

GCF(61408,61427) = 19

We will now calculate the prime factors of 61408 and 61427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61408 and 61427.

How to find the GCF of 61408 and 61427?

We will first find the prime factorization of 61408 and 61427. After we will calculate the factors of 61408 and 61427 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 61427

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

61427 = 19¹ × 53¹ × 61¹

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 61427

List of positive integer factors of 61427 that divides 61408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61408 and 61427. The biggest common factor number is the GCF number.
So the greatest common factor 61408 and 61427 is 19.

Also check out the Least Common Multiple of 61408 and 61427