What is the Greatest Common Factor of 35632 and 35648?

Greatest common factor (GCF) of 35632 and 35648 is 16.

GCF(35632,35648) = 16

We will now calculate the prime factors of 35632 and 35648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35632 and 35648.

How to find the GCF of 35632 and 35648?

We will first find the prime factorization of 35632 and 35648. After we will calculate the factors of 35632 and 35648 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 35648

Prime factors of 35648 are 2, 557. Prime factorization of 35648 in exponential form is:

35648 = 2⁶ × 557¹

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 35648

List of positive integer factors of 35648 that divides 35632 without a remainder.

1, 2, 4, 8, 16, 32, 64, 557, 1114, 2228, 4456, 8912, 17824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35632 and 35648. The biggest common factor number is the GCF number.
So the greatest common factor 35632 and 35648 is 16.

Also check out the Least Common Multiple of 35632 and 35648