What is the Greatest Common Factor of 73360 and 73380?

Greatest common factor (GCF) of 73360 and 73380 is 20.

GCF(73360,73380) = 20

We will now calculate the prime factors of 73360 and 73380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73360 and 73380.

How to find the GCF of 73360 and 73380?

We will first find the prime factorization of 73360 and 73380. After we will calculate the factors of 73360 and 73380 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 73380

Prime factors of 73380 are 2, 3, 5, 1223. Prime factorization of 73380 in exponential form is:

73380 = 2² × 3¹ × 5¹ × 1223¹

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 73380

List of positive integer factors of 73380 that divides 73360 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1223, 2446, 3669, 4892, 6115, 7338, 12230, 14676, 18345, 24460, 36690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73360 and 73380. The biggest common factor number is the GCF number.
So the greatest common factor 73360 and 73380 is 20.

Also check out the Least Common Multiple of 73360 and 73380