What is the Greatest Common Factor of 94829 and 94843?

Greatest common factor (GCF) of 94829 and 94843 is 7.

GCF(94829,94843) = 7

We will now calculate the prime factors of 94829 and 94843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94829 and 94843.

How to find the GCF of 94829 and 94843?

We will first find the prime factorization of 94829 and 94843. After we will calculate the factors of 94829 and 94843 and find the biggest common factor number .

Step-1: Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 7¹ × 19¹ × 23¹ × 31¹

Step-2: Prime Factorization of 94843

Prime factors of 94843 are 7, 17, 797. Prime factorization of 94843 in exponential form is:

94843 = 7¹ × 17¹ × 797¹

Step-3: Factors of 94829

List of positive integer factors of 94829 that divides 94829 without a remainder.

1, 7, 19, 23, 31, 133, 161, 217, 437, 589, 713, 3059, 4123, 4991, 13547

Step-4: Factors of 94843

List of positive integer factors of 94843 that divides 94829 without a remainder.

1, 7, 17, 119, 797, 5579, 13549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94829 and 94843. The biggest common factor number is the GCF number.
So the greatest common factor 94829 and 94843 is 7.

Also check out the Least Common Multiple of 94829 and 94843