What is the Greatest Common Factor of 35784 and 35798?

Greatest common factor (GCF) of 35784 and 35798 is 14.

GCF(35784,35798) = 14

We will now calculate the prime factors of 35784 and 35798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35784 and 35798.

How to find the GCF of 35784 and 35798?

We will first find the prime factorization of 35784 and 35798. After we will calculate the factors of 35784 and 35798 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 35798

Prime factors of 35798 are 2, 7, 2557. Prime factorization of 35798 in exponential form is:

35798 = 2¹ × 7¹ × 2557¹

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 35798

List of positive integer factors of 35798 that divides 35784 without a remainder.

1, 2, 7, 14, 2557, 5114, 17899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35784 and 35798. The biggest common factor number is the GCF number.
So the greatest common factor 35784 and 35798 is 14.

Also check out the Least Common Multiple of 35784 and 35798