What is the Greatest Common Factor of 73375 and 73381?

Greatest common factor (GCF) of 73375 and 73381 is 1.

GCF(73375,73381) = 1

We will now calculate the prime factors of 73375 and 73381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73375 and 73381.

How to find the GCF of 73375 and 73381?

We will first find the prime factorization of 73375 and 73381. After we will calculate the factors of 73375 and 73381 and find the biggest common factor number .

Step-1: Prime Factorization of 73375

Prime factors of 73375 are 5, 587. Prime factorization of 73375 in exponential form is:

73375 = 5³ × 587¹

Step-2: Prime Factorization of 73381

Prime factors of 73381 are 7, 11, 953. Prime factorization of 73381 in exponential form is:

73381 = 7¹ × 11¹ × 953¹

Step-3: Factors of 73375

List of positive integer factors of 73375 that divides 73375 without a remainder.

1, 5, 25, 125, 587, 2935, 14675

Step-4: Factors of 73381

List of positive integer factors of 73381 that divides 73375 without a remainder.

1, 7, 11, 77, 953, 6671, 10483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73375 and 73381. The biggest common factor number is the GCF number.
So the greatest common factor 73375 and 73381 is 1.

Also check out the Least Common Multiple of 73375 and 73381