What is the Greatest Common Factor of 61408 and 61421?

Greatest common factor (GCF) of 61408 and 61421 is 1.

GCF(61408,61421) = 1

We will now calculate the prime factors of 61408 and 61421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61408 and 61421.

How to find the GCF of 61408 and 61421?

We will first find the prime factorization of 61408 and 61421. After we will calculate the factors of 61408 and 61421 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 61421

Prime factors of 61421 are 17, 3613. Prime factorization of 61421 in exponential form is:

61421 = 17¹ × 3613¹

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 61421

List of positive integer factors of 61421 that divides 61408 without a remainder.

1, 17, 3613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61408 and 61421. The biggest common factor number is the GCF number.
So the greatest common factor 61408 and 61421 is 1.

Also check out the Least Common Multiple of 61408 and 61421