What is the Greatest Common Factor of 45787 and 45801?

Greatest common factor (GCF) of 45787 and 45801 is 7.

GCF(45787,45801) = 7

We will now calculate the prime factors of 45787 and 45801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45787 and 45801.

How to find the GCF of 45787 and 45801?

We will first find the prime factorization of 45787 and 45801. After we will calculate the factors of 45787 and 45801 and find the biggest common factor number .

Step-1: Prime Factorization of 45787

Prime factors of 45787 are 7, 31, 211. Prime factorization of 45787 in exponential form is:

45787 = 7¹ × 31¹ × 211¹

Step-2: Prime Factorization of 45801

Prime factors of 45801 are 3, 7, 727. Prime factorization of 45801 in exponential form is:

45801 = 3² × 7¹ × 727¹

Step-3: Factors of 45787

List of positive integer factors of 45787 that divides 45787 without a remainder.

1, 7, 31, 211, 217, 1477, 6541

Step-4: Factors of 45801

List of positive integer factors of 45801 that divides 45787 without a remainder.

1, 3, 7, 9, 21, 63, 727, 2181, 5089, 6543, 15267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45787 and 45801. The biggest common factor number is the GCF number.
So the greatest common factor 45787 and 45801 is 7.

Also check out the Least Common Multiple of 45787 and 45801