What is the Greatest Common Factor of 35627 and 35632?

Greatest common factor (GCF) of 35627 and 35632 is 1.

GCF(35627,35632) = 1

We will now calculate the prime factors of 35627 and 35632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35627 and 35632.

How to find the GCF of 35627 and 35632?

We will first find the prime factorization of 35627 and 35632. After we will calculate the factors of 35627 and 35632 and find the biggest common factor number .

Step-1: Prime Factorization of 35627

Prime factors of 35627 are 23, 1549. Prime factorization of 35627 in exponential form is:

35627 = 23¹ × 1549¹

Step-2: 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-3: Factors of 35627

List of positive integer factors of 35627 that divides 35627 without a remainder.

1, 23, 1549

Step-4: Factors of 35632

List of positive integer factors of 35632 that divides 35627 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35627 and 35632. The biggest common factor number is the GCF number.
So the greatest common factor 35627 and 35632 is 1.

Also check out the Least Common Multiple of 35627 and 35632