What is the Greatest Common Factor of 75769 and 75786?

Greatest common factor (GCF) of 75769 and 75786 is 17.

GCF(75769,75786) = 17

We will now calculate the prime factors of 75769 and 75786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75769 and 75786.

How to find the GCF of 75769 and 75786?

We will first find the prime factorization of 75769 and 75786. After we will calculate the factors of 75769 and 75786 and find the biggest common factor number .

Step-1: Prime Factorization of 75769

Prime factors of 75769 are 17, 4457. Prime factorization of 75769 in exponential form is:

75769 = 17¹ × 4457¹

Step-2: 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-3: Factors of 75769

List of positive integer factors of 75769 that divides 75769 without a remainder.

1, 17, 4457

Step-4: Factors of 75786

List of positive integer factors of 75786 that divides 75769 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75769 and 75786. The biggest common factor number is the GCF number.
So the greatest common factor 75769 and 75786 is 17.

Also check out the Least Common Multiple of 75769 and 75786