What is the Greatest Common Factor of 35955 and 35969?

Greatest common factor (GCF) of 35955 and 35969 is 1.

GCF(35955,35969) = 1

We will now calculate the prime factors of 35955 and 35969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35955 and 35969.

How to find the GCF of 35955 and 35969?

We will first find the prime factorization of 35955 and 35969. After we will calculate the factors of 35955 and 35969 and find the biggest common factor number .

Step-1: Prime Factorization of 35955

Prime factors of 35955 are 3, 5, 17, 47. Prime factorization of 35955 in exponential form is:

35955 = 3² × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 35969

Prime factors of 35969 are 35969. Prime factorization of 35969 in exponential form is:

35969 = 35969¹

Step-3: Factors of 35955

List of positive integer factors of 35955 that divides 35955 without a remainder.

1, 3, 5, 9, 15, 17, 45, 47, 51, 85, 141, 153, 235, 255, 423, 705, 765, 799, 2115, 2397, 3995, 7191, 11985

Step-4: Factors of 35969

List of positive integer factors of 35969 that divides 35955 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35955 and 35969. The biggest common factor number is the GCF number.
So the greatest common factor 35955 and 35969 is 1.

Also check out the Least Common Multiple of 35955 and 35969