What is the Greatest Common Factor of 84896 and 84915?

Greatest common factor (GCF) of 84896 and 84915 is 1.

GCF(84896,84915) = 1

We will now calculate the prime factors of 84896 and 84915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84896 and 84915.

How to find the GCF of 84896 and 84915?

We will first find the prime factorization of 84896 and 84915. After we will calculate the factors of 84896 and 84915 and find the biggest common factor number .

Step-1: Prime Factorization of 84896

Prime factors of 84896 are 2, 7, 379. Prime factorization of 84896 in exponential form is:

84896 = 2⁵ × 7¹ × 379¹

Step-2: Prime Factorization of 84915

Prime factors of 84915 are 3, 5, 17, 37. Prime factorization of 84915 in exponential form is:

84915 = 3³ × 5¹ × 17¹ × 37¹

Step-3: Factors of 84896

List of positive integer factors of 84896 that divides 84896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 12128, 21224, 42448

Step-4: Factors of 84915

List of positive integer factors of 84915 that divides 84896 without a remainder.

1, 3, 5, 9, 15, 17, 27, 37, 45, 51, 85, 111, 135, 153, 185, 255, 333, 459, 555, 629, 765, 999, 1665, 1887, 2295, 3145, 4995, 5661, 9435, 16983, 28305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84896 and 84915. The biggest common factor number is the GCF number.
So the greatest common factor 84896 and 84915 is 1.

Also check out the Least Common Multiple of 84896 and 84915