What is the Greatest Common Factor of 84721 and 84734?

Greatest common factor (GCF) of 84721 and 84734 is 13.

GCF(84721,84734) = 13

We will now calculate the prime factors of 84721 and 84734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84721 and 84734.

How to find the GCF of 84721 and 84734?

We will first find the prime factorization of 84721 and 84734. After we will calculate the factors of 84721 and 84734 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 84734

Prime factors of 84734 are 2, 13, 3259. Prime factorization of 84734 in exponential form is:

84734 = 2¹ × 13¹ × 3259¹

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 84734

List of positive integer factors of 84734 that divides 84721 without a remainder.

1, 2, 13, 26, 3259, 6518, 42367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84721 and 84734. The biggest common factor number is the GCF number.
So the greatest common factor 84721 and 84734 is 13.

Also check out the Least Common Multiple of 84721 and 84734