What is the Greatest Common Factor of 45073 and 45087?

Greatest common factor (GCF) of 45073 and 45087 is 7.

GCF(45073,45087) = 7

We will now calculate the prime factors of 45073 and 45087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45073 and 45087.

How to find the GCF of 45073 and 45087?

We will first find the prime factorization of 45073 and 45087. After we will calculate the factors of 45073 and 45087 and find the biggest common factor number .

Step-1: Prime Factorization of 45073

Prime factors of 45073 are 7, 47, 137. Prime factorization of 45073 in exponential form is:

45073 = 7¹ × 47¹ × 137¹

Step-2: Prime Factorization of 45087

Prime factors of 45087 are 3, 7, 19, 113. Prime factorization of 45087 in exponential form is:

45087 = 3¹ × 7¹ × 19¹ × 113¹

Step-3: Factors of 45073

List of positive integer factors of 45073 that divides 45073 without a remainder.

1, 7, 47, 137, 329, 959, 6439

Step-4: Factors of 45087

List of positive integer factors of 45087 that divides 45073 without a remainder.

1, 3, 7, 19, 21, 57, 113, 133, 339, 399, 791, 2147, 2373, 6441, 15029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45073 and 45087. The biggest common factor number is the GCF number.
So the greatest common factor 45073 and 45087 is 7.

Also check out the Least Common Multiple of 45073 and 45087