What is the Greatest Common Factor of 73023 and 73032?

Greatest common factor (GCF) of 73023 and 73032 is 3.

GCF(73023,73032) = 3

We will now calculate the prime factors of 73023 and 73032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73023 and 73032.

How to find the GCF of 73023 and 73032?

We will first find the prime factorization of 73023 and 73032. After we will calculate the factors of 73023 and 73032 and find the biggest common factor number .

Step-1: Prime Factorization of 73023

Prime factors of 73023 are 3, 101, 241. Prime factorization of 73023 in exponential form is:

73023 = 3¹ × 101¹ × 241¹

Step-2: Prime Factorization of 73032

Prime factors of 73032 are 2, 3, 17, 179. Prime factorization of 73032 in exponential form is:

73032 = 2³ × 3¹ × 17¹ × 179¹

Step-3: Factors of 73023

List of positive integer factors of 73023 that divides 73023 without a remainder.

1, 3, 101, 241, 303, 723, 24341

Step-4: Factors of 73032

List of positive integer factors of 73032 that divides 73023 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 179, 204, 358, 408, 537, 716, 1074, 1432, 2148, 3043, 4296, 6086, 9129, 12172, 18258, 24344, 36516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73023 and 73032. The biggest common factor number is the GCF number.
So the greatest common factor 73023 and 73032 is 3.

Also check out the Least Common Multiple of 73023 and 73032