What is the Greatest Common Factor of 35945 and 35963?

Greatest common factor (GCF) of 35945 and 35963 is 1.

GCF(35945,35963) = 1

We will now calculate the prime factors of 35945 and 35963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35945 and 35963.

How to find the GCF of 35945 and 35963?

We will first find the prime factorization of 35945 and 35963. After we will calculate the factors of 35945 and 35963 and find the biggest common factor number .

Step-1: Prime Factorization of 35945

Prime factors of 35945 are 5, 7, 13, 79. Prime factorization of 35945 in exponential form is:

35945 = 5¹ × 7¹ × 13¹ × 79¹

Step-2: Prime Factorization of 35963

Prime factors of 35963 are 35963. Prime factorization of 35963 in exponential form is:

35963 = 35963¹

Step-3: Factors of 35945

List of positive integer factors of 35945 that divides 35945 without a remainder.

1, 5, 7, 13, 35, 65, 79, 91, 395, 455, 553, 1027, 2765, 5135, 7189

Step-4: Factors of 35963

List of positive integer factors of 35963 that divides 35945 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35945 and 35963. The biggest common factor number is the GCF number.
So the greatest common factor 35945 and 35963 is 1.

Also check out the Least Common Multiple of 35945 and 35963