What is the Greatest Common Factor of 97812 and 97820?

Greatest common factor (GCF) of 97812 and 97820 is 4.

GCF(97812,97820) = 4

We will now calculate the prime factors of 97812 and 97820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97812 and 97820.

How to find the GCF of 97812 and 97820?

We will first find the prime factorization of 97812 and 97820. After we will calculate the factors of 97812 and 97820 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97820

Prime factors of 97820 are 2, 5, 67, 73. Prime factorization of 97820 in exponential form is:

97820 = 2² × 5¹ × 67¹ × 73¹

Step-3: Factors of 97812

List of positive integer factors of 97812 that divides 97812 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

Step-4: Factors of 97820

List of positive integer factors of 97820 that divides 97812 without a remainder.

1, 2, 4, 5, 10, 20, 67, 73, 134, 146, 268, 292, 335, 365, 670, 730, 1340, 1460, 4891, 9782, 19564, 24455, 48910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97812 and 97820. The biggest common factor number is the GCF number.
So the greatest common factor 97812 and 97820 is 4.

Also check out the Least Common Multiple of 97812 and 97820