What is the Greatest Common Factor of 78827 and 78840?

Greatest common factor (GCF) of 78827 and 78840 is 1.

GCF(78827,78840) = 1

We will now calculate the prime factors of 78827 and 78840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78827 and 78840.

How to find the GCF of 78827 and 78840?

We will first find the prime factorization of 78827 and 78840. After we will calculate the factors of 78827 and 78840 and find the biggest common factor number .

Step-1: Prime Factorization of 78827

Prime factors of 78827 are 7, 11261. Prime factorization of 78827 in exponential form is:

78827 = 7¹ × 11261¹

Step-2: Prime Factorization of 78840

Prime factors of 78840 are 2, 3, 5, 73. Prime factorization of 78840 in exponential form is:

78840 = 2³ × 3³ × 5¹ × 73¹

Step-3: Factors of 78827

List of positive integer factors of 78827 that divides 78827 without a remainder.

1, 7, 11261

Step-4: Factors of 78840

List of positive integer factors of 78840 that divides 78827 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 73, 90, 108, 120, 135, 146, 180, 216, 219, 270, 292, 360, 365, 438, 540, 584, 657, 730, 876, 1080, 1095, 1314, 1460, 1752, 1971, 2190, 2628, 2920, 3285, 3942, 4380, 5256, 6570, 7884, 8760, 9855, 13140, 15768, 19710, 26280, 39420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78827 and 78840. The biggest common factor number is the GCF number.
So the greatest common factor 78827 and 78840 is 1.

Also check out the Least Common Multiple of 78827 and 78840