What is the Greatest Common Factor of 83422 and 83440?

Greatest common factor (GCF) of 83422 and 83440 is 2.

GCF(83422,83440) = 2

We will now calculate the prime factors of 83422 and 83440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83422 and 83440.

How to find the GCF of 83422 and 83440?

We will first find the prime factorization of 83422 and 83440. After we will calculate the factors of 83422 and 83440 and find the biggest common factor number .

Step-1: Prime Factorization of 83422

Prime factors of 83422 are 2, 53, 787. Prime factorization of 83422 in exponential form is:

83422 = 2¹ × 53¹ × 787¹

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 83422

List of positive integer factors of 83422 that divides 83422 without a remainder.

1, 2, 53, 106, 787, 1574, 41711

Step-4: Factors of 83440

List of positive integer factors of 83440 that divides 83422 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 83422 and 83440. The biggest common factor number is the GCF number.
So the greatest common factor 83422 and 83440 is 2.

Also check out the Least Common Multiple of 83422 and 83440