What is the Greatest Common Factor of 34776 and 34793?

Greatest common factor (GCF) of 34776 and 34793 is 1.

GCF(34776,34793) = 1

We will now calculate the prime factors of 34776 and 34793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34776 and 34793.

How to find the GCF of 34776 and 34793?

We will first find the prime factorization of 34776 and 34793. After we will calculate the factors of 34776 and 34793 and find the biggest common factor number .

Step-1: Prime Factorization of 34776

Prime factors of 34776 are 2, 3, 7, 23. Prime factorization of 34776 in exponential form is:

34776 = 2³ × 3³ × 7¹ × 23¹

Step-2: Prime Factorization of 34793

Prime factors of 34793 are 11, 3163. Prime factorization of 34793 in exponential form is:

34793 = 11¹ × 3163¹

Step-3: Factors of 34776

List of positive integer factors of 34776 that divides 34776 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 23, 24, 27, 28, 36, 42, 46, 54, 56, 63, 69, 72, 84, 92, 108, 126, 138, 161, 168, 184, 189, 207, 216, 252, 276, 322, 378, 414, 483, 504, 552, 621, 644, 756, 828, 966, 1242, 1288, 1449, 1512, 1656, 1932, 2484, 2898, 3864, 4347, 4968, 5796, 8694, 11592, 17388

Step-4: Factors of 34793

List of positive integer factors of 34793 that divides 34776 without a remainder.

1, 11, 3163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34776 and 34793. The biggest common factor number is the GCF number.
So the greatest common factor 34776 and 34793 is 1.

Also check out the Least Common Multiple of 34776 and 34793