What is the Greatest Common Factor of 84728 and 84745?

Greatest common factor (GCF) of 84728 and 84745 is 17.

GCF(84728,84745) = 17

We will now calculate the prime factors of 84728 and 84745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84728 and 84745.

How to find the GCF of 84728 and 84745?

We will first find the prime factorization of 84728 and 84745. After we will calculate the factors of 84728 and 84745 and find the biggest common factor number .

Step-1: Prime Factorization of 84728

Prime factors of 84728 are 2, 7, 17, 89. Prime factorization of 84728 in exponential form is:

84728 = 2³ × 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 84745

Prime factors of 84745 are 5, 17, 997. Prime factorization of 84745 in exponential form is:

84745 = 5¹ × 17¹ × 997¹

Step-3: Factors of 84728

List of positive integer factors of 84728 that divides 84728 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 89, 119, 136, 178, 238, 356, 476, 623, 712, 952, 1246, 1513, 2492, 3026, 4984, 6052, 10591, 12104, 21182, 42364

Step-4: Factors of 84745

List of positive integer factors of 84745 that divides 84728 without a remainder.

1, 5, 17, 85, 997, 4985, 16949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84728 and 84745. The biggest common factor number is the GCF number.
So the greatest common factor 84728 and 84745 is 17.

Also check out the Least Common Multiple of 84728 and 84745