What is the Greatest Common Factor of 35956 and 35969?

Greatest common factor (GCF) of 35956 and 35969 is 1.

GCF(35956,35969) = 1

We will now calculate the prime factors of 35956 and 35969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35956 and 35969.

How to find the GCF of 35956 and 35969?

We will first find the prime factorization of 35956 and 35969. After we will calculate the factors of 35956 and 35969 and find the biggest common factor number .

Step-1: Prime Factorization of 35956

Prime factors of 35956 are 2, 89, 101. Prime factorization of 35956 in exponential form is:

35956 = 2² × 89¹ × 101¹

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 35956

List of positive integer factors of 35956 that divides 35956 without a remainder.

1, 2, 4, 89, 101, 178, 202, 356, 404, 8989, 17978

Step-4: Factors of 35969

List of positive integer factors of 35969 that divides 35956 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35956 and 35969. The biggest common factor number is the GCF number.
So the greatest common factor 35956 and 35969 is 1.

Also check out the Least Common Multiple of 35956 and 35969