What is the Greatest Common Factor of 83940 and 83950?

Greatest common factor (GCF) of 83940 and 83950 is 10.

GCF(83940,83950) = 10

We will now calculate the prime factors of 83940 and 83950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83940 and 83950.

How to find the GCF of 83940 and 83950?

We will first find the prime factorization of 83940 and 83950. After we will calculate the factors of 83940 and 83950 and find the biggest common factor number .

Step-1: Prime Factorization of 83940

Prime factors of 83940 are 2, 3, 5, 1399. Prime factorization of 83940 in exponential form is:

83940 = 2² × 3¹ × 5¹ × 1399¹

Step-2: Prime Factorization of 83950

Prime factors of 83950 are 2, 5, 23, 73. Prime factorization of 83950 in exponential form is:

83950 = 2¹ × 5² × 23¹ × 73¹

Step-3: Factors of 83940

List of positive integer factors of 83940 that divides 83940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1399, 2798, 4197, 5596, 6995, 8394, 13990, 16788, 20985, 27980, 41970

Step-4: Factors of 83950

List of positive integer factors of 83950 that divides 83940 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 73, 115, 146, 230, 365, 575, 730, 1150, 1679, 1825, 3358, 3650, 8395, 16790, 41975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83940 and 83950. The biggest common factor number is the GCF number.
So the greatest common factor 83940 and 83950 is 10.

Also check out the Least Common Multiple of 83940 and 83950