What is the Greatest Common Factor of 83860 and 83874?

Greatest common factor (GCF) of 83860 and 83874 is 14.

GCF(83860,83874) = 14

We will now calculate the prime factors of 83860 and 83874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83860 and 83874.

How to find the GCF of 83860 and 83874?

We will first find the prime factorization of 83860 and 83874. After we will calculate the factors of 83860 and 83874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83874

Prime factors of 83874 are 2, 3, 7, 1997. Prime factorization of 83874 in exponential form is:

83874 = 2¹ × 3¹ × 7¹ × 1997¹

Step-3: Factors of 83860

List of positive integer factors of 83860 that divides 83860 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

Step-4: Factors of 83874

List of positive integer factors of 83874 that divides 83860 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1997, 3994, 5991, 11982, 13979, 27958, 41937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83860 and 83874. The biggest common factor number is the GCF number.
So the greatest common factor 83860 and 83874 is 14.

Also check out the Least Common Multiple of 83860 and 83874