What is the Greatest Common Factor of 73360 and 73364?

Greatest common factor (GCF) of 73360 and 73364 is 4.

GCF(73360,73364) = 4

We will now calculate the prime factors of 73360 and 73364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73360 and 73364.

How to find the GCF of 73360 and 73364?

We will first find the prime factorization of 73360 and 73364. After we will calculate the factors of 73360 and 73364 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 73364

Prime factors of 73364 are 2, 18341. Prime factorization of 73364 in exponential form is:

73364 = 2² × 18341¹

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 73364

List of positive integer factors of 73364 that divides 73360 without a remainder.

1, 2, 4, 18341, 36682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73360 and 73364. The biggest common factor number is the GCF number.
So the greatest common factor 73360 and 73364 is 4.

Also check out the Least Common Multiple of 73360 and 73364