What is the Greatest Common Factor of 84524 and 84540?

Greatest common factor (GCF) of 84524 and 84540 is 4.

GCF(84524,84540) = 4

We will now calculate the prime factors of 84524 and 84540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84524 and 84540.

How to find the GCF of 84524 and 84540?

We will first find the prime factorization of 84524 and 84540. After we will calculate the factors of 84524 and 84540 and find the biggest common factor number .

Step-1: Prime Factorization of 84524

Prime factors of 84524 are 2, 11, 17, 113. Prime factorization of 84524 in exponential form is:

84524 = 2² × 11¹ × 17¹ × 113¹

Step-2: 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-3: Factors of 84524

List of positive integer factors of 84524 that divides 84524 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 113, 187, 226, 374, 452, 748, 1243, 1921, 2486, 3842, 4972, 7684, 21131, 42262

Step-4: Factors of 84540

List of positive integer factors of 84540 that divides 84524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84524 and 84540. The biggest common factor number is the GCF number.
So the greatest common factor 84524 and 84540 is 4.

Also check out the Least Common Multiple of 84524 and 84540