What is the Greatest Common Factor of 73032 and 73052?

Greatest common factor (GCF) of 73032 and 73052 is 4.

GCF(73032,73052) = 4

We will now calculate the prime factors of 73032 and 73052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73032 and 73052.

How to find the GCF of 73032 and 73052?

We will first find the prime factorization of 73032 and 73052. After we will calculate the factors of 73032 and 73052 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73052

Prime factors of 73052 are 2, 7, 2609. Prime factorization of 73052 in exponential form is:

73052 = 2² × 7¹ × 2609¹

Step-3: Factors of 73032

List of positive integer factors of 73032 that divides 73032 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

Step-4: Factors of 73052

List of positive integer factors of 73052 that divides 73032 without a remainder.

1, 2, 4, 7, 14, 28, 2609, 5218, 10436, 18263, 36526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73032 and 73052. The biggest common factor number is the GCF number.
So the greatest common factor 73032 and 73052 is 4.

Also check out the Least Common Multiple of 73032 and 73052