What is the Greatest Common Factor of 83440 and 83448?

Greatest common factor (GCF) of 83440 and 83448 is 8.

GCF(83440,83448) = 8

We will now calculate the prime factors of 83440 and 83448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83440 and 83448.

How to find the GCF of 83440 and 83448?

We will first find the prime factorization of 83440 and 83448. After we will calculate the factors of 83440 and 83448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83448

Prime factors of 83448 are 2, 3, 19, 61. Prime factorization of 83448 in exponential form is:

83448 = 2³ × 3² × 19¹ × 61¹

Step-3: Factors of 83440

List of positive integer factors of 83440 that divides 83440 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

Step-4: Factors of 83448

List of positive integer factors of 83448 that divides 83440 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 61, 72, 76, 114, 122, 152, 171, 183, 228, 244, 342, 366, 456, 488, 549, 684, 732, 1098, 1159, 1368, 1464, 2196, 2318, 3477, 4392, 4636, 6954, 9272, 10431, 13908, 20862, 27816, 41724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83440 and 83448. The biggest common factor number is the GCF number.
So the greatest common factor 83440 and 83448 is 8.

Also check out the Least Common Multiple of 83440 and 83448