What is the Greatest Common Factor of 84735 and 84750?

Greatest common factor (GCF) of 84735 and 84750 is 15.

GCF(84735,84750) = 15

We will now calculate the prime factors of 84735 and 84750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84735 and 84750.

How to find the GCF of 84735 and 84750?

We will first find the prime factorization of 84735 and 84750. After we will calculate the factors of 84735 and 84750 and find the biggest common factor number .

Step-1: Prime Factorization of 84735

Prime factors of 84735 are 3, 5, 7, 269. Prime factorization of 84735 in exponential form is:

84735 = 3² × 5¹ × 7¹ × 269¹

Step-2: 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-3: Factors of 84735

List of positive integer factors of 84735 that divides 84735 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 269, 315, 807, 1345, 1883, 2421, 4035, 5649, 9415, 12105, 16947, 28245

Step-4: Factors of 84750

List of positive integer factors of 84750 that divides 84735 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84735 and 84750. The biggest common factor number is the GCF number.
So the greatest common factor 84735 and 84750 is 15.

Also check out the Least Common Multiple of 84735 and 84750