What is the Greatest Common Factor of 77022 and 77040?

Greatest common factor (GCF) of 77022 and 77040 is 18.

GCF(77022,77040) = 18

We will now calculate the prime factors of 77022 and 77040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77022 and 77040.

How to find the GCF of 77022 and 77040?

We will first find the prime factorization of 77022 and 77040. After we will calculate the factors of 77022 and 77040 and find the biggest common factor number .

Step-1: Prime Factorization of 77022

Prime factors of 77022 are 2, 3, 11, 389. Prime factorization of 77022 in exponential form is:

77022 = 2¹ × 3² × 11¹ × 389¹

Step-2: Prime Factorization of 77040

Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:

77040 = 2⁴ × 3² × 5¹ × 107¹

Step-3: Factors of 77022

List of positive integer factors of 77022 that divides 77022 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 389, 778, 1167, 2334, 3501, 4279, 7002, 8558, 12837, 25674, 38511

Step-4: Factors of 77040

List of positive integer factors of 77040 that divides 77022 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 107, 120, 144, 180, 214, 240, 321, 360, 428, 535, 642, 720, 856, 963, 1070, 1284, 1605, 1712, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 5136, 6420, 7704, 8560, 9630, 12840, 15408, 19260, 25680, 38520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77022 and 77040. The biggest common factor number is the GCF number.
So the greatest common factor 77022 and 77040 is 18.

Also check out the Least Common Multiple of 77022 and 77040