What is the Greatest Common Factor of 78120 and 78133?

Greatest common factor (GCF) of 78120 and 78133 is 1.

GCF(78120,78133) = 1

We will now calculate the prime factors of 78120 and 78133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78120 and 78133.

How to find the GCF of 78120 and 78133?

We will first find the prime factorization of 78120 and 78133. After we will calculate the factors of 78120 and 78133 and find the biggest common factor number .

Step-1: Prime Factorization of 78120

Prime factors of 78120 are 2, 3, 5, 7, 31. Prime factorization of 78120 in exponential form is:

78120 = 2³ × 3² × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 78133

Prime factors of 78133 are 11, 7103. Prime factorization of 78133 in exponential form is:

78133 = 11¹ × 7103¹

Step-3: Factors of 78120

List of positive integer factors of 78120 that divides 78120 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 31, 35, 36, 40, 42, 45, 56, 60, 62, 63, 70, 72, 84, 90, 93, 105, 120, 124, 126, 140, 155, 168, 180, 186, 210, 217, 248, 252, 279, 280, 310, 315, 360, 372, 420, 434, 465, 504, 558, 620, 630, 651, 744, 840, 868, 930, 1085, 1116, 1240, 1260, 1302, 1395, 1736, 1860, 1953, 2170, 2232, 2520, 2604, 2790, 3255, 3720, 3906, 4340, 5208, 5580, 6510, 7812, 8680, 9765, 11160, 13020, 15624, 19530, 26040, 39060

Step-4: Factors of 78133

List of positive integer factors of 78133 that divides 78120 without a remainder.

1, 11, 7103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78120 and 78133. The biggest common factor number is the GCF number.
So the greatest common factor 78120 and 78133 is 1.

Also check out the Least Common Multiple of 78120 and 78133