What is the Greatest Common Factor of 73492 and 73511?

Greatest common factor (GCF) of 73492 and 73511 is 19.

GCF(73492,73511) = 19

We will now calculate the prime factors of 73492 and 73511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73492 and 73511.

How to find the GCF of 73492 and 73511?

We will first find the prime factorization of 73492 and 73511. After we will calculate the factors of 73492 and 73511 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73511

Prime factors of 73511 are 19, 53, 73. Prime factorization of 73511 in exponential form is:

73511 = 19¹ × 53¹ × 73¹

Step-3: Factors of 73492

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

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

Step-4: Factors of 73511

List of positive integer factors of 73511 that divides 73492 without a remainder.

1, 19, 53, 73, 1007, 1387, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73492 and 73511. The biggest common factor number is the GCF number.
So the greatest common factor 73492 and 73511 is 19.

Also check out the Least Common Multiple of 73492 and 73511