What is the Greatest Common Factor of 73617 and 73632?

Greatest common factor (GCF) of 73617 and 73632 is 3.

GCF(73617,73632) = 3

We will now calculate the prime factors of 73617 and 73632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73617 and 73632.

How to find the GCF of 73617 and 73632?

We will first find the prime factorization of 73617 and 73632. After we will calculate the factors of 73617 and 73632 and find the biggest common factor number .

Step-1: Prime Factorization of 73617

Prime factors of 73617 are 3, 53, 463. Prime factorization of 73617 in exponential form is:

73617 = 3¹ × 53¹ × 463¹

Step-2: 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-3: Factors of 73617

List of positive integer factors of 73617 that divides 73617 without a remainder.

1, 3, 53, 159, 463, 1389, 24539

Step-4: Factors of 73632

List of positive integer factors of 73632 that divides 73617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73617 and 73632. The biggest common factor number is the GCF number.
So the greatest common factor 73617 and 73632 is 3.

Also check out the Least Common Multiple of 73617 and 73632