What is the Greatest Common Factor of 75750 and 75769?

Greatest common factor (GCF) of 75750 and 75769 is 1.

GCF(75750,75769) = 1

We will now calculate the prime factors of 75750 and 75769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75750 and 75769.

How to find the GCF of 75750 and 75769?

We will first find the prime factorization of 75750 and 75769. After we will calculate the factors of 75750 and 75769 and find the biggest common factor number .

Step-1: Prime Factorization of 75750

Prime factors of 75750 are 2, 3, 5, 101. Prime factorization of 75750 in exponential form is:

75750 = 2¹ × 3¹ × 5³ × 101¹

Step-2: Prime Factorization of 75769

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

75769 = 17¹ × 4457¹

Step-3: Factors of 75750

List of positive integer factors of 75750 that divides 75750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 101, 125, 150, 202, 250, 303, 375, 505, 606, 750, 1010, 1515, 2525, 3030, 5050, 7575, 12625, 15150, 25250, 37875

Step-4: Factors of 75769

List of positive integer factors of 75769 that divides 75750 without a remainder.

1, 17, 4457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75750 and 75769. The biggest common factor number is the GCF number.
So the greatest common factor 75750 and 75769 is 1.

Also check out the Least Common Multiple of 75750 and 75769