What is the Greatest Common Factor of 35784 and 35802?

Greatest common factor (GCF) of 35784 and 35802 is 18.

GCF(35784,35802) = 18

We will now calculate the prime factors of 35784 and 35802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35784 and 35802.

How to find the GCF of 35784 and 35802?

We will first find the prime factorization of 35784 and 35802. After we will calculate the factors of 35784 and 35802 and find the biggest common factor number .

Step-1: Prime Factorization of 35784

Prime factors of 35784 are 2, 3, 7, 71. Prime factorization of 35784 in exponential form is:

35784 = 2³ × 3² × 7¹ × 71¹

Step-2: Prime Factorization of 35802

Prime factors of 35802 are 2, 3, 13, 17. Prime factorization of 35802 in exponential form is:

35802 = 2¹ × 3⁴ × 13¹ × 17¹

Step-3: Factors of 35784

List of positive integer factors of 35784 that divides 35784 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 71, 72, 84, 126, 142, 168, 213, 252, 284, 426, 497, 504, 568, 639, 852, 994, 1278, 1491, 1704, 1988, 2556, 2982, 3976, 4473, 5112, 5964, 8946, 11928, 17892

Step-4: Factors of 35802

List of positive integer factors of 35802 that divides 35784 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 81, 102, 117, 153, 162, 221, 234, 306, 351, 442, 459, 663, 702, 918, 1053, 1326, 1377, 1989, 2106, 2754, 3978, 5967, 11934, 17901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35784 and 35802. The biggest common factor number is the GCF number.
So the greatest common factor 35784 and 35802 is 18.

Also check out the Least Common Multiple of 35784 and 35802