What is the Greatest Common Factor of 84750 and 84770?

Greatest common factor (GCF) of 84750 and 84770 is 10.

GCF(84750,84770) = 10

We will now calculate the prime factors of 84750 and 84770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84750 and 84770.

How to find the GCF of 84750 and 84770?

We will first find the prime factorization of 84750 and 84770. After we will calculate the factors of 84750 and 84770 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 84770

Prime factors of 84770 are 2, 5, 7, 173. Prime factorization of 84770 in exponential form is:

84770 = 2¹ × 5¹ × 7² × 173¹

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 84770

List of positive integer factors of 84770 that divides 84750 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 173, 245, 346, 490, 865, 1211, 1730, 2422, 6055, 8477, 12110, 16954, 42385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84750 and 84770. The biggest common factor number is the GCF number.
So the greatest common factor 84750 and 84770 is 10.

Also check out the Least Common Multiple of 84750 and 84770