What is the Greatest Common Factor of 35784 and 35791?

Greatest common factor (GCF) of 35784 and 35791 is 7.

GCF(35784,35791) = 7

We will now calculate the prime factors of 35784 and 35791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35784 and 35791.

How to find the GCF of 35784 and 35791?

We will first find the prime factorization of 35784 and 35791. After we will calculate the factors of 35784 and 35791 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 35791

Prime factors of 35791 are 7, 5113. Prime factorization of 35791 in exponential form is:

35791 = 7¹ × 5113¹

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 35791

List of positive integer factors of 35791 that divides 35784 without a remainder.

1, 7, 5113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35784 and 35791. The biggest common factor number is the GCF number.
So the greatest common factor 35784 and 35791 is 7.

Also check out the Least Common Multiple of 35784 and 35791