What is the Greatest Common Factor of 84750 and 84765?

Greatest common factor (GCF) of 84750 and 84765 is 15.

GCF(84750,84765) = 15

We will now calculate the prime factors of 84750 and 84765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84750 and 84765.

How to find the GCF of 84750 and 84765?

We will first find the prime factorization of 84750 and 84765. After we will calculate the factors of 84750 and 84765 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 84765

Prime factors of 84765 are 3, 5, 5651. Prime factorization of 84765 in exponential form is:

84765 = 3¹ × 5¹ × 5651¹

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 84765

List of positive integer factors of 84765 that divides 84750 without a remainder.

1, 3, 5, 15, 5651, 16953, 28255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84750 and 84765. The biggest common factor number is the GCF number.
So the greatest common factor 84750 and 84765 is 15.

Also check out the Least Common Multiple of 84750 and 84765