What is the Greatest Common Factor of 35632 and 35643?

Greatest common factor (GCF) of 35632 and 35643 is 1.

GCF(35632,35643) = 1

We will now calculate the prime factors of 35632 and 35643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35632 and 35643.

How to find the GCF of 35632 and 35643?

We will first find the prime factorization of 35632 and 35643. After we will calculate the factors of 35632 and 35643 and find the biggest common factor number .

Step-1: Prime Factorization of 35632

Prime factors of 35632 are 2, 17, 131. Prime factorization of 35632 in exponential form is:

35632 = 2⁴ × 17¹ × 131¹

Step-2: Prime Factorization of 35643

Prime factors of 35643 are 3, 109. Prime factorization of 35643 in exponential form is:

35643 = 3¹ × 109²

Step-3: Factors of 35632

List of positive integer factors of 35632 that divides 35632 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 131, 136, 262, 272, 524, 1048, 2096, 2227, 4454, 8908, 17816

Step-4: Factors of 35643

List of positive integer factors of 35643 that divides 35632 without a remainder.

1, 3, 109, 327, 11881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35632 and 35643. The biggest common factor number is the GCF number.
So the greatest common factor 35632 and 35643 is 1.

Also check out the Least Common Multiple of 35632 and 35643