What is the Greatest Common Factor of 85750 and 85769?

Greatest common factor (GCF) of 85750 and 85769 is 1.

GCF(85750,85769) = 1

We will now calculate the prime factors of 85750 and 85769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85750 and 85769.

How to find the GCF of 85750 and 85769?

We will first find the prime factorization of 85750 and 85769. After we will calculate the factors of 85750 and 85769 and find the biggest common factor number .

Step-1: Prime Factorization of 85750

Prime factors of 85750 are 2, 5, 7. Prime factorization of 85750 in exponential form is:

85750 = 2¹ × 5³ × 7³

Step-2: Prime Factorization of 85769

Prime factors of 85769 are 199, 431. Prime factorization of 85769 in exponential form is:

85769 = 199¹ × 431¹

Step-3: Factors of 85750

List of positive integer factors of 85750 that divides 85750 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 125, 175, 245, 250, 343, 350, 490, 686, 875, 1225, 1715, 1750, 2450, 3430, 6125, 8575, 12250, 17150, 42875

Step-4: Factors of 85769

List of positive integer factors of 85769 that divides 85750 without a remainder.

1, 199, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85750 and 85769. The biggest common factor number is the GCF number.
So the greatest common factor 85750 and 85769 is 1.

Also check out the Least Common Multiple of 85750 and 85769