What is the Greatest Common Factor of 35769 and 35784?

Greatest common factor (GCF) of 35769 and 35784 is 3.

GCF(35769,35784) = 3

We will now calculate the prime factors of 35769 and 35784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35769 and 35784.

How to find the GCF of 35769 and 35784?

We will first find the prime factorization of 35769 and 35784. After we will calculate the factors of 35769 and 35784 and find the biggest common factor number .

Step-1: Prime Factorization of 35769

Prime factors of 35769 are 3, 11923. Prime factorization of 35769 in exponential form is:

35769 = 3¹ × 11923¹

Step-2: 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-3: Factors of 35769

List of positive integer factors of 35769 that divides 35769 without a remainder.

1, 3, 11923

Step-4: Factors of 35784

List of positive integer factors of 35784 that divides 35769 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35769 and 35784. The biggest common factor number is the GCF number.
So the greatest common factor 35769 and 35784 is 3.

Also check out the Least Common Multiple of 35769 and 35784