What is the Greatest Common Factor of 35929 and 35945?

Greatest common factor (GCF) of 35929 and 35945 is 1.

GCF(35929,35945) = 1

We will now calculate the prime factors of 35929 and 35945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35929 and 35945.

How to find the GCF of 35929 and 35945?

We will first find the prime factorization of 35929 and 35945. After we will calculate the factors of 35929 and 35945 and find the biggest common factor number .

Step-1: Prime Factorization of 35929

Prime factors of 35929 are 19, 31, 61. Prime factorization of 35929 in exponential form is:

35929 = 19¹ × 31¹ × 61¹

Step-2: 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-3: Factors of 35929

List of positive integer factors of 35929 that divides 35929 without a remainder.

1, 19, 31, 61, 589, 1159, 1891

Step-4: Factors of 35945

List of positive integer factors of 35945 that divides 35929 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35929 and 35945. The biggest common factor number is the GCF number.
So the greatest common factor 35929 and 35945 is 1.

Also check out the Least Common Multiple of 35929 and 35945