What is the Greatest Common Factor of 84721 and 84728?

Greatest common factor (GCF) of 84721 and 84728 is 7.

GCF(84721,84728) = 7

We will now calculate the prime factors of 84721 and 84728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84721 and 84728.

How to find the GCF of 84721 and 84728?

We will first find the prime factorization of 84721 and 84728. After we will calculate the factors of 84721 and 84728 and find the biggest common factor number .

Step-1: Prime Factorization of 84721

Prime factors of 84721 are 7, 13, 19. Prime factorization of 84721 in exponential form is:

84721 = 7³ × 13¹ × 19¹

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 84721

List of positive integer factors of 84721 that divides 84721 without a remainder.

1, 7, 13, 19, 49, 91, 133, 247, 343, 637, 931, 1729, 4459, 6517, 12103

Step-4: Factors of 84728

List of positive integer factors of 84728 that divides 84721 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 84721 and 84728. The biggest common factor number is the GCF number.
So the greatest common factor 84721 and 84728 is 7.

Also check out the Least Common Multiple of 84721 and 84728