What is the Greatest Common Factor of 35968 and 35981?

Greatest common factor (GCF) of 35968 and 35981 is 1.

GCF(35968,35981) = 1

We will now calculate the prime factors of 35968 and 35981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35968 and 35981.

How to find the GCF of 35968 and 35981?

We will first find the prime factorization of 35968 and 35981. After we will calculate the factors of 35968 and 35981 and find the biggest common factor number .

Step-1: Prime Factorization of 35968

Prime factors of 35968 are 2, 281. Prime factorization of 35968 in exponential form is:

35968 = 2⁷ × 281¹

Step-2: Prime Factorization of 35981

Prime factors of 35981 are 11, 3271. Prime factorization of 35981 in exponential form is:

35981 = 11¹ × 3271¹

Step-3: Factors of 35968

List of positive integer factors of 35968 that divides 35968 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 281, 562, 1124, 2248, 4496, 8992, 17984

Step-4: Factors of 35981

List of positive integer factors of 35981 that divides 35968 without a remainder.

1, 11, 3271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35968 and 35981. The biggest common factor number is the GCF number.
So the greatest common factor 35968 and 35981 is 1.

Also check out the Least Common Multiple of 35968 and 35981