What is the Greatest Common Factor of 73485 and 73492?

Greatest common factor (GCF) of 73485 and 73492 is 1.

GCF(73485,73492) = 1

We will now calculate the prime factors of 73485 and 73492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73485 and 73492.

How to find the GCF of 73485 and 73492?

We will first find the prime factorization of 73485 and 73492. After we will calculate the factors of 73485 and 73492 and find the biggest common factor number .

Step-1: Prime Factorization of 73485

Prime factors of 73485 are 3, 5, 23, 71. Prime factorization of 73485 in exponential form is:

73485 = 3² × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 73492

Prime factors of 73492 are 2, 19, 967. Prime factorization of 73492 in exponential form is:

73492 = 2² × 19¹ × 967¹

Step-3: Factors of 73485

List of positive integer factors of 73485 that divides 73485 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 71, 115, 207, 213, 345, 355, 639, 1035, 1065, 1633, 3195, 4899, 8165, 14697, 24495

Step-4: Factors of 73492

List of positive integer factors of 73492 that divides 73485 without a remainder.

1, 2, 4, 19, 38, 76, 967, 1934, 3868, 18373, 36746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73485 and 73492. The biggest common factor number is the GCF number.
So the greatest common factor 73485 and 73492 is 1.

Also check out the Least Common Multiple of 73485 and 73492