What is the Greatest Common Factor of 84516 and 84525?

Greatest common factor (GCF) of 84516 and 84525 is 3.

GCF(84516,84525) = 3

We will now calculate the prime factors of 84516 and 84525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84516 and 84525.

How to find the GCF of 84516 and 84525?

We will first find the prime factorization of 84516 and 84525. After we will calculate the factors of 84516 and 84525 and find the biggest common factor number .

Step-1: Prime Factorization of 84516

Prime factors of 84516 are 2, 3, 7043. Prime factorization of 84516 in exponential form is:

84516 = 2² × 3¹ × 7043¹

Step-2: Prime Factorization of 84525

Prime factors of 84525 are 3, 5, 7, 23. Prime factorization of 84525 in exponential form is:

84525 = 3¹ × 5² × 7² × 23¹

Step-3: Factors of 84516

List of positive integer factors of 84516 that divides 84516 without a remainder.

1, 2, 3, 4, 6, 12, 7043, 14086, 21129, 28172, 42258

Step-4: Factors of 84525

List of positive integer factors of 84525 that divides 84516 without a remainder.

1, 3, 5, 7, 15, 21, 23, 25, 35, 49, 69, 75, 105, 115, 147, 161, 175, 245, 345, 483, 525, 575, 735, 805, 1127, 1225, 1725, 2415, 3381, 3675, 4025, 5635, 12075, 16905, 28175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84516 and 84525. The biggest common factor number is the GCF number.
So the greatest common factor 84516 and 84525 is 3.

Also check out the Least Common Multiple of 84516 and 84525