What is the Greatest Common Factor of 97798 and 97812?

Greatest common factor (GCF) of 97798 and 97812 is 2.

GCF(97798,97812) = 2

We will now calculate the prime factors of 97798 and 97812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97798 and 97812.

How to find the GCF of 97798 and 97812?

We will first find the prime factorization of 97798 and 97812. After we will calculate the factors of 97798 and 97812 and find the biggest common factor number .

Step-1: Prime Factorization of 97798

Prime factors of 97798 are 2, 107, 457. Prime factorization of 97798 in exponential form is:

97798 = 2¹ × 107¹ × 457¹

Step-2: Prime Factorization of 97812

Prime factors of 97812 are 2, 3, 11, 13, 19. Prime factorization of 97812 in exponential form is:

97812 = 2² × 3² × 11¹ × 13¹ × 19¹

Step-3: Factors of 97798

List of positive integer factors of 97798 that divides 97798 without a remainder.

1, 2, 107, 214, 457, 914, 48899

Step-4: Factors of 97812

List of positive integer factors of 97812 that divides 97798 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 19, 22, 26, 33, 36, 38, 39, 44, 52, 57, 66, 76, 78, 99, 114, 117, 132, 143, 156, 171, 198, 209, 228, 234, 247, 286, 342, 396, 418, 429, 468, 494, 572, 627, 684, 741, 836, 858, 988, 1254, 1287, 1482, 1716, 1881, 2223, 2508, 2574, 2717, 2964, 3762, 4446, 5148, 5434, 7524, 8151, 8892, 10868, 16302, 24453, 32604, 48906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97798 and 97812. The biggest common factor number is the GCF number.
So the greatest common factor 97798 and 97812 is 2.

Also check out the Least Common Multiple of 97798 and 97812