What is the Greatest Common Factor of 78780 and 78792?

Greatest common factor (GCF) of 78780 and 78792 is 12.

GCF(78780,78792) = 12

We will now calculate the prime factors of 78780 and 78792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78780 and 78792.

How to find the GCF of 78780 and 78792?

We will first find the prime factorization of 78780 and 78792. After we will calculate the factors of 78780 and 78792 and find the biggest common factor number .

Step-1: Prime Factorization of 78780

Prime factors of 78780 are 2, 3, 5, 13, 101. Prime factorization of 78780 in exponential form is:

78780 = 2² × 3¹ × 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 78792

Prime factors of 78792 are 2, 3, 7, 67. Prime factorization of 78792 in exponential form is:

78792 = 2³ × 3¹ × 7² × 67¹

Step-3: Factors of 78780

List of positive integer factors of 78780 that divides 78780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 101, 130, 156, 195, 202, 260, 303, 390, 404, 505, 606, 780, 1010, 1212, 1313, 1515, 2020, 2626, 3030, 3939, 5252, 6060, 6565, 7878, 13130, 15756, 19695, 26260, 39390

Step-4: Factors of 78792

List of positive integer factors of 78792 that divides 78780 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 67, 84, 98, 134, 147, 168, 196, 201, 268, 294, 392, 402, 469, 536, 588, 804, 938, 1176, 1407, 1608, 1876, 2814, 3283, 3752, 5628, 6566, 9849, 11256, 13132, 19698, 26264, 39396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78780 and 78792. The biggest common factor number is the GCF number.
So the greatest common factor 78780 and 78792 is 12.

Also check out the Least Common Multiple of 78780 and 78792