What is the Greatest Common Factor of 77040 and 77052?

Greatest common factor (GCF) of 77040 and 77052 is 12.

GCF(77040,77052) = 12

We will now calculate the prime factors of 77040 and 77052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77040 and 77052.

How to find the GCF of 77040 and 77052?

We will first find the prime factorization of 77040 and 77052. After we will calculate the factors of 77040 and 77052 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77052

Prime factors of 77052 are 2, 3, 6421. Prime factorization of 77052 in exponential form is:

77052 = 2² × 3¹ × 6421¹

Step-3: Factors of 77040

List of positive integer factors of 77040 that divides 77040 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

Step-4: Factors of 77052

List of positive integer factors of 77052 that divides 77040 without a remainder.

1, 2, 3, 4, 6, 12, 6421, 12842, 19263, 25684, 38526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77040 and 77052. The biggest common factor number is the GCF number.
So the greatest common factor 77040 and 77052 is 12.

Also check out the Least Common Multiple of 77040 and 77052