What is the Greatest Common Factor of 61392 and 61408?

Greatest common factor (GCF) of 61392 and 61408 is 16.

GCF(61392,61408) = 16

We will now calculate the prime factors of 61392 and 61408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61392 and 61408.

How to find the GCF of 61392 and 61408?

We will first find the prime factorization of 61392 and 61408. After we will calculate the factors of 61392 and 61408 and find the biggest common factor number .

Step-1: Prime Factorization of 61392

Prime factors of 61392 are 2, 3, 1279. Prime factorization of 61392 in exponential form is:

61392 = 2⁴ × 3¹ × 1279¹

Step-2: 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-3: Factors of 61392

List of positive integer factors of 61392 that divides 61392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1279, 2558, 3837, 5116, 7674, 10232, 15348, 20464, 30696

Step-4: Factors of 61408

List of positive integer factors of 61408 that divides 61392 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61392 and 61408. The biggest common factor number is the GCF number.
So the greatest common factor 61392 and 61408 is 16.

Also check out the Least Common Multiple of 61392 and 61408