What is the Greatest Common Factor of 83428 and 83440?

Greatest common factor (GCF) of 83428 and 83440 is 4.

GCF(83428,83440) = 4

We will now calculate the prime factors of 83428 and 83440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83428 and 83440.

How to find the GCF of 83428 and 83440?

We will first find the prime factorization of 83428 and 83440. After we will calculate the factors of 83428 and 83440 and find the biggest common factor number .

Step-1: Prime Factorization of 83428

Prime factors of 83428 are 2, 20857. Prime factorization of 83428 in exponential form is:

83428 = 2² × 20857¹

Step-2: Prime Factorization of 83440

Prime factors of 83440 are 2, 5, 7, 149. Prime factorization of 83440 in exponential form is:

83440 = 2⁴ × 5¹ × 7¹ × 149¹

Step-3: Factors of 83428

List of positive integer factors of 83428 that divides 83428 without a remainder.

1, 2, 4, 20857, 41714

Step-4: Factors of 83440

List of positive integer factors of 83440 that divides 83428 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 149, 280, 298, 560, 596, 745, 1043, 1192, 1490, 2086, 2384, 2980, 4172, 5215, 5960, 8344, 10430, 11920, 16688, 20860, 41720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83428 and 83440. The biggest common factor number is the GCF number.
So the greatest common factor 83428 and 83440 is 4.

Also check out the Least Common Multiple of 83428 and 83440