What is the Greatest Common Factor of 83776 and 83782?

Greatest common factor (GCF) of 83776 and 83782 is 2.

GCF(83776,83782) = 2

We will now calculate the prime factors of 83776 and 83782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83776 and 83782.

How to find the GCF of 83776 and 83782?

We will first find the prime factorization of 83776 and 83782. After we will calculate the factors of 83776 and 83782 and find the biggest common factor number .

Step-1: Prime Factorization of 83776

Prime factors of 83776 are 2, 7, 11, 17. Prime factorization of 83776 in exponential form is:

83776 = 2⁶ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 83782

Prime factors of 83782 are 2, 163, 257. Prime factorization of 83782 in exponential form is:

83782 = 2¹ × 163¹ × 257¹

Step-3: Factors of 83776

List of positive integer factors of 83776 that divides 83776 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 17, 22, 28, 32, 34, 44, 56, 64, 68, 77, 88, 112, 119, 136, 154, 176, 187, 224, 238, 272, 308, 352, 374, 448, 476, 544, 616, 704, 748, 952, 1088, 1232, 1309, 1496, 1904, 2464, 2618, 2992, 3808, 4928, 5236, 5984, 7616, 10472, 11968, 20944, 41888

Step-4: Factors of 83782

List of positive integer factors of 83782 that divides 83776 without a remainder.

1, 2, 163, 257, 326, 514, 41891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83776 and 83782. The biggest common factor number is the GCF number.
So the greatest common factor 83776 and 83782 is 2.

Also check out the Least Common Multiple of 83776 and 83782