What is the Greatest Common Factor of 84706 and 84721?

Greatest common factor (GCF) of 84706 and 84721 is 1.

GCF(84706,84721) = 1

We will now calculate the prime factors of 84706 and 84721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84706 and 84721.

How to find the GCF of 84706 and 84721?

We will first find the prime factorization of 84706 and 84721. After we will calculate the factors of 84706 and 84721 and find the biggest common factor number .

Step-1: Prime Factorization of 84706

Prime factors of 84706 are 2, 41, 1033. Prime factorization of 84706 in exponential form is:

84706 = 2¹ × 41¹ × 1033¹

Step-2: 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-3: Factors of 84706

List of positive integer factors of 84706 that divides 84706 without a remainder.

1, 2, 41, 82, 1033, 2066, 42353

Step-4: Factors of 84721

List of positive integer factors of 84721 that divides 84706 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84706 and 84721. The biggest common factor number is the GCF number.
So the greatest common factor 84706 and 84721 is 1.

Also check out the Least Common Multiple of 84706 and 84721