What is the Greatest Common Factor of 73360 and 73372?

Greatest common factor (GCF) of 73360 and 73372 is 4.

GCF(73360,73372) = 4

We will now calculate the prime factors of 73360 and 73372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73360 and 73372.

How to find the GCF of 73360 and 73372?

We will first find the prime factorization of 73360 and 73372. After we will calculate the factors of 73360 and 73372 and find the biggest common factor number .

Step-1: Prime Factorization of 73360

Prime factors of 73360 are 2, 5, 7, 131. Prime factorization of 73360 in exponential form is:

73360 = 2⁴ × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 73372

Prime factors of 73372 are 2, 13, 17, 83. Prime factorization of 73372 in exponential form is:

73372 = 2² × 13¹ × 17¹ × 83¹

Step-3: Factors of 73360

List of positive integer factors of 73360 that divides 73360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 131, 140, 262, 280, 524, 560, 655, 917, 1048, 1310, 1834, 2096, 2620, 3668, 4585, 5240, 7336, 9170, 10480, 14672, 18340, 36680

Step-4: Factors of 73372

List of positive integer factors of 73372 that divides 73360 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 83, 166, 221, 332, 442, 884, 1079, 1411, 2158, 2822, 4316, 5644, 18343, 36686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73360 and 73372. The biggest common factor number is the GCF number.
So the greatest common factor 73360 and 73372 is 4.

Also check out the Least Common Multiple of 73360 and 73372