What is the Greatest Common Factor of 35945 and 35960?

Greatest common factor (GCF) of 35945 and 35960 is 5.

GCF(35945,35960) = 5

We will now calculate the prime factors of 35945 and 35960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35945 and 35960.

How to find the GCF of 35945 and 35960?

We will first find the prime factorization of 35945 and 35960. After we will calculate the factors of 35945 and 35960 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 35960

Prime factors of 35960 are 2, 5, 29, 31. Prime factorization of 35960 in exponential form is:

35960 = 2³ × 5¹ × 29¹ × 31¹

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 35960

List of positive integer factors of 35960 that divides 35945 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 31, 40, 58, 62, 116, 124, 145, 155, 232, 248, 290, 310, 580, 620, 899, 1160, 1240, 1798, 3596, 4495, 7192, 8990, 17980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35945 and 35960. The biggest common factor number is the GCF number.
So the greatest common factor 35945 and 35960 is 5.

Also check out the Least Common Multiple of 35945 and 35960