What is the Greatest Common Factor of 61624 and 61632?

Greatest common factor (GCF) of 61624 and 61632 is 8.

GCF(61624,61632) = 8

We will now calculate the prime factors of 61624 and 61632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61624 and 61632.

How to find the GCF of 61624 and 61632?

We will first find the prime factorization of 61624 and 61632. After we will calculate the factors of 61624 and 61632 and find the biggest common factor number .

Step-1: Prime Factorization of 61624

Prime factors of 61624 are 2, 7703. Prime factorization of 61624 in exponential form is:

61624 = 2³ × 7703¹

Step-2: 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-3: Factors of 61624

List of positive integer factors of 61624 that divides 61624 without a remainder.

1, 2, 4, 8, 7703, 15406, 30812

Step-4: Factors of 61632

List of positive integer factors of 61632 that divides 61624 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61624 and 61632. The biggest common factor number is the GCF number.
So the greatest common factor 61624 and 61632 is 8.

Also check out the Least Common Multiple of 61624 and 61632