What is the Greatest Common Factor of 75786 and 75803?

Greatest common factor (GCF) of 75786 and 75803 is 17.

GCF(75786,75803) = 17

We will now calculate the prime factors of 75786 and 75803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75786 and 75803.

How to find the GCF of 75786 and 75803?

We will first find the prime factorization of 75786 and 75803. After we will calculate the factors of 75786 and 75803 and find the biggest common factor number .

Step-1: Prime Factorization of 75786

Prime factors of 75786 are 2, 3, 17, 743. Prime factorization of 75786 in exponential form is:

75786 = 2¹ × 3¹ × 17¹ × 743¹

Step-2: Prime Factorization of 75803

Prime factors of 75803 are 7, 13, 17. Prime factorization of 75803 in exponential form is:

75803 = 7³ × 13¹ × 17¹

Step-3: Factors of 75786

List of positive integer factors of 75786 that divides 75786 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 743, 1486, 2229, 4458, 12631, 25262, 37893

Step-4: Factors of 75803

List of positive integer factors of 75803 that divides 75786 without a remainder.

1, 7, 13, 17, 49, 91, 119, 221, 343, 637, 833, 1547, 4459, 5831, 10829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75786 and 75803. The biggest common factor number is the GCF number.
So the greatest common factor 75786 and 75803 is 17.

Also check out the Least Common Multiple of 75786 and 75803