What is the Greatest Common Factor of 83846 and 83860?

Greatest common factor (GCF) of 83846 and 83860 is 14.

GCF(83846,83860) = 14

We will now calculate the prime factors of 83846 and 83860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83846 and 83860.

How to find the GCF of 83846 and 83860?

We will first find the prime factorization of 83846 and 83860. After we will calculate the factors of 83846 and 83860 and find the biggest common factor number .

Step-1: Prime Factorization of 83846

Prime factors of 83846 are 2, 7, 53, 113. Prime factorization of 83846 in exponential form is:

83846 = 2¹ × 7¹ × 53¹ × 113¹

Step-2: Prime Factorization of 83860

Prime factors of 83860 are 2, 5, 7, 599. Prime factorization of 83860 in exponential form is:

83860 = 2² × 5¹ × 7¹ × 599¹

Step-3: Factors of 83846

List of positive integer factors of 83846 that divides 83846 without a remainder.

1, 2, 7, 14, 53, 106, 113, 226, 371, 742, 791, 1582, 5989, 11978, 41923

Step-4: Factors of 83860

List of positive integer factors of 83860 that divides 83846 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 599, 1198, 2396, 2995, 4193, 5990, 8386, 11980, 16772, 20965, 41930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83846 and 83860. The biggest common factor number is the GCF number.
So the greatest common factor 83846 and 83860 is 14.

Also check out the Least Common Multiple of 83846 and 83860