What is the Greatest Common Factor of 84730 and 84750?

Greatest common factor (GCF) of 84730 and 84750 is 10.

GCF(84730,84750) = 10

We will now calculate the prime factors of 84730 and 84750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84730 and 84750.

How to find the GCF of 84730 and 84750?

We will first find the prime factorization of 84730 and 84750. After we will calculate the factors of 84730 and 84750 and find the biggest common factor number .

Step-1: Prime Factorization of 84730

Prime factors of 84730 are 2, 5, 37, 229. Prime factorization of 84730 in exponential form is:

84730 = 2¹ × 5¹ × 37¹ × 229¹

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 84730

List of positive integer factors of 84730 that divides 84730 without a remainder.

1, 2, 5, 10, 37, 74, 185, 229, 370, 458, 1145, 2290, 8473, 16946, 42365

Step-4: Factors of 84750

List of positive integer factors of 84750 that divides 84730 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 84730 and 84750. The biggest common factor number is the GCF number.
So the greatest common factor 84730 and 84750 is 10.

Also check out the Least Common Multiple of 84730 and 84750