What is the Greatest Common Factor of 73455 and 73460?

Greatest common factor (GCF) of 73455 and 73460 is 5.

GCF(73455,73460) = 5

We will now calculate the prime factors of 73455 and 73460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73455 and 73460.

How to find the GCF of 73455 and 73460?

We will first find the prime factorization of 73455 and 73460. After we will calculate the factors of 73455 and 73460 and find the biggest common factor number .

Step-1: Prime Factorization of 73455

Prime factors of 73455 are 3, 5, 59, 83. Prime factorization of 73455 in exponential form is:

73455 = 3¹ × 5¹ × 59¹ × 83¹

Step-2: Prime Factorization of 73460

Prime factors of 73460 are 2, 5, 3673. Prime factorization of 73460 in exponential form is:

73460 = 2² × 5¹ × 3673¹

Step-3: Factors of 73455

List of positive integer factors of 73455 that divides 73455 without a remainder.

1, 3, 5, 15, 59, 83, 177, 249, 295, 415, 885, 1245, 4897, 14691, 24485

Step-4: Factors of 73460

List of positive integer factors of 73460 that divides 73455 without a remainder.

1, 2, 4, 5, 10, 20, 3673, 7346, 14692, 18365, 36730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73455 and 73460. The biggest common factor number is the GCF number.
So the greatest common factor 73455 and 73460 is 5.

Also check out the Least Common Multiple of 73455 and 73460