What is the Greatest Common Factor of 84540 and 84560?

Greatest common factor (GCF) of 84540 and 84560 is 20.

GCF(84540,84560) = 20

We will now calculate the prime factors of 84540 and 84560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84540 and 84560.

How to find the GCF of 84540 and 84560?

We will first find the prime factorization of 84540 and 84560. After we will calculate the factors of 84540 and 84560 and find the biggest common factor number .

Step-1: Prime Factorization of 84540

Prime factors of 84540 are 2, 3, 5, 1409. Prime factorization of 84540 in exponential form is:

84540 = 2² × 3¹ × 5¹ × 1409¹

Step-2: Prime Factorization of 84560

Prime factors of 84560 are 2, 5, 7, 151. Prime factorization of 84560 in exponential form is:

84560 = 2⁴ × 5¹ × 7¹ × 151¹

Step-3: Factors of 84540

List of positive integer factors of 84540 that divides 84540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1409, 2818, 4227, 5636, 7045, 8454, 14090, 16908, 21135, 28180, 42270

Step-4: Factors of 84560

List of positive integer factors of 84560 that divides 84540 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 151, 280, 302, 560, 604, 755, 1057, 1208, 1510, 2114, 2416, 3020, 4228, 5285, 6040, 8456, 10570, 12080, 16912, 21140, 42280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84540 and 84560. The biggest common factor number is the GCF number.
So the greatest common factor 84540 and 84560 is 20.

Also check out the Least Common Multiple of 84540 and 84560