What is the Greatest Common Factor of 84750 and 84759?

Greatest common factor (GCF) of 84750 and 84759 is 3.

GCF(84750,84759) = 3

We will now calculate the prime factors of 84750 and 84759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84750 and 84759.

How to find the GCF of 84750 and 84759?

We will first find the prime factorization of 84750 and 84759. After we will calculate the factors of 84750 and 84759 and find the biggest common factor number .

Step-1: Prime Factorization of 84750

Prime factors of 84750 are 2, 3, 5, 113. Prime factorization of 84750 in exponential form is:

84750 = 2¹ × 3¹ × 5³ × 113¹

Step-2: Prime Factorization of 84759

Prime factors of 84759 are 3, 19, 1487. Prime factorization of 84759 in exponential form is:

84759 = 3¹ × 19¹ × 1487¹

Step-3: Factors of 84750

List of positive integer factors of 84750 that divides 84750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 113, 125, 150, 226, 250, 339, 375, 565, 678, 750, 1130, 1695, 2825, 3390, 5650, 8475, 14125, 16950, 28250, 42375

Step-4: Factors of 84759

List of positive integer factors of 84759 that divides 84750 without a remainder.

1, 3, 19, 57, 1487, 4461, 28253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84750 and 84759. The biggest common factor number is the GCF number.
So the greatest common factor 84750 and 84759 is 3.

Also check out the Least Common Multiple of 84750 and 84759