What is the Greatest Common Factor of 35969 and 35984?

Greatest common factor (GCF) of 35969 and 35984 is 1.

GCF(35969,35984) = 1

We will now calculate the prime factors of 35969 and 35984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35969 and 35984.

How to find the GCF of 35969 and 35984?

We will first find the prime factorization of 35969 and 35984. After we will calculate the factors of 35969 and 35984 and find the biggest common factor number .

Step-1: Prime Factorization of 35969

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

35969 = 35969¹

Step-2: Prime Factorization of 35984

Prime factors of 35984 are 2, 13, 173. Prime factorization of 35984 in exponential form is:

35984 = 2⁴ × 13¹ × 173¹

Step-3: Factors of 35969

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

Step-4: Factors of 35984

List of positive integer factors of 35984 that divides 35969 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 173, 208, 346, 692, 1384, 2249, 2768, 4498, 8996, 17992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35969 and 35984. The biggest common factor number is the GCF number.
So the greatest common factor 35969 and 35984 is 1.

Also check out the Least Common Multiple of 35969 and 35984