What is the Greatest Common Factor of 73632 and 73636?

Greatest common factor (GCF) of 73632 and 73636 is 4.

GCF(73632,73636) = 4

We will now calculate the prime factors of 73632 and 73636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73632 and 73636.

How to find the GCF of 73632 and 73636?

We will first find the prime factorization of 73632 and 73636. After we will calculate the factors of 73632 and 73636 and find the biggest common factor number .

Step-1: Prime Factorization of 73632

Prime factors of 73632 are 2, 3, 13, 59. Prime factorization of 73632 in exponential form is:

73632 = 2⁵ × 3¹ × 13¹ × 59¹

Step-2: Prime Factorization of 73636

Prime factors of 73636 are 2, 41, 449. Prime factorization of 73636 in exponential form is:

73636 = 2² × 41¹ × 449¹

Step-3: Factors of 73632

List of positive integer factors of 73632 that divides 73632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 59, 78, 96, 104, 118, 156, 177, 208, 236, 312, 354, 416, 472, 624, 708, 767, 944, 1248, 1416, 1534, 1888, 2301, 2832, 3068, 4602, 5664, 6136, 9204, 12272, 18408, 24544, 36816

Step-4: Factors of 73636

List of positive integer factors of 73636 that divides 73632 without a remainder.

1, 2, 4, 41, 82, 164, 449, 898, 1796, 18409, 36818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73632 and 73636. The biggest common factor number is the GCF number.
So the greatest common factor 73632 and 73636 is 4.

Also check out the Least Common Multiple of 73632 and 73636