What is the Greatest Common Factor of 61632 and 61648?

Greatest common factor (GCF) of 61632 and 61648 is 16.

GCF(61632,61648) = 16

We will now calculate the prime factors of 61632 and 61648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61632 and 61648.

How to find the GCF of 61632 and 61648?

We will first find the prime factorization of 61632 and 61648. After we will calculate the factors of 61632 and 61648 and find the biggest common factor number .

Step-1: Prime Factorization of 61632

Prime factors of 61632 are 2, 3, 107. Prime factorization of 61632 in exponential form is:

61632 = 2⁶ × 3² × 107¹

Step-2: Prime Factorization of 61648

Prime factors of 61648 are 2, 3853. Prime factorization of 61648 in exponential form is:

61648 = 2⁴ × 3853¹

Step-3: Factors of 61632

List of positive integer factors of 61632 that divides 61632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 107, 144, 192, 214, 288, 321, 428, 576, 642, 856, 963, 1284, 1712, 1926, 2568, 3424, 3852, 5136, 6848, 7704, 10272, 15408, 20544, 30816

Step-4: Factors of 61648

List of positive integer factors of 61648 that divides 61632 without a remainder.

1, 2, 4, 8, 16, 3853, 7706, 15412, 30824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61632 and 61648. The biggest common factor number is the GCF number.
So the greatest common factor 61632 and 61648 is 16.

Also check out the Least Common Multiple of 61632 and 61648