What is the Greatest Common Factor of 84750 and 84764?

Greatest common factor (GCF) of 84750 and 84764 is 2.

GCF(84750,84764) = 2

We will now calculate the prime factors of 84750 and 84764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84750 and 84764.

How to find the GCF of 84750 and 84764?

We will first find the prime factorization of 84750 and 84764. After we will calculate the factors of 84750 and 84764 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 84764

Prime factors of 84764 are 2, 21191. Prime factorization of 84764 in exponential form is:

84764 = 2² × 21191¹

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 84764

List of positive integer factors of 84764 that divides 84750 without a remainder.

1, 2, 4, 21191, 42382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84750 and 84764. The biggest common factor number is the GCF number.
So the greatest common factor 84750 and 84764 is 2.

Also check out the Least Common Multiple of 84750 and 84764