What is the Greatest Common Factor of 84711 and 84728?

Greatest common factor (GCF) of 84711 and 84728 is 17.

GCF(84711,84728) = 17

We will now calculate the prime factors of 84711 and 84728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84711 and 84728.

How to find the GCF of 84711 and 84728?

We will first find the prime factorization of 84711 and 84728. After we will calculate the factors of 84711 and 84728 and find the biggest common factor number .

Step-1: Prime Factorization of 84711

Prime factors of 84711 are 3, 11, 17, 151. Prime factorization of 84711 in exponential form is:

84711 = 3¹ × 11¹ × 17¹ × 151¹

Step-2: 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-3: Factors of 84711

List of positive integer factors of 84711 that divides 84711 without a remainder.

1, 3, 11, 17, 33, 51, 151, 187, 453, 561, 1661, 2567, 4983, 7701, 28237

Step-4: Factors of 84728

List of positive integer factors of 84728 that divides 84711 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84711 and 84728. The biggest common factor number is the GCF number.
So the greatest common factor 84711 and 84728 is 17.

Also check out the Least Common Multiple of 84711 and 84728