What is the Greatest Common Factor of 61632 and 61636?

Greatest common factor (GCF) of 61632 and 61636 is 4.

GCF(61632,61636) = 4

We will now calculate the prime factors of 61632 and 61636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61632 and 61636.

How to find the GCF of 61632 and 61636?

We will first find the prime factorization of 61632 and 61636. After we will calculate the factors of 61632 and 61636 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 61636

Prime factors of 61636 are 2, 19, 811. Prime factorization of 61636 in exponential form is:

61636 = 2² × 19¹ × 811¹

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 61636

List of positive integer factors of 61636 that divides 61632 without a remainder.

1, 2, 4, 19, 38, 76, 811, 1622, 3244, 15409, 30818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61632 and 61636. The biggest common factor number is the GCF number.
So the greatest common factor 61632 and 61636 is 4.

Also check out the Least Common Multiple of 61632 and 61636