What is the Greatest Common Factor of 45773 and 45786?

Greatest common factor (GCF) of 45773 and 45786 is 13.

GCF(45773,45786) = 13

We will now calculate the prime factors of 45773 and 45786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45773 and 45786.

How to find the GCF of 45773 and 45786?

We will first find the prime factorization of 45773 and 45786. After we will calculate the factors of 45773 and 45786 and find the biggest common factor number .

Step-1: Prime Factorization of 45773

Prime factors of 45773 are 7, 13, 503. Prime factorization of 45773 in exponential form is:

45773 = 7¹ × 13¹ × 503¹

Step-2: Prime Factorization of 45786

Prime factors of 45786 are 2, 3, 13, 587. Prime factorization of 45786 in exponential form is:

45786 = 2¹ × 3¹ × 13¹ × 587¹

Step-3: Factors of 45773

List of positive integer factors of 45773 that divides 45773 without a remainder.

1, 7, 13, 91, 503, 3521, 6539

Step-4: Factors of 45786

List of positive integer factors of 45786 that divides 45773 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 587, 1174, 1761, 3522, 7631, 15262, 22893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45773 and 45786. The biggest common factor number is the GCF number.
So the greatest common factor 45773 and 45786 is 13.

Also check out the Least Common Multiple of 45773 and 45786