What is the Greatest Common Factor of 35648 and 35652?

Greatest common factor (GCF) of 35648 and 35652 is 4.

GCF(35648,35652) = 4

We will now calculate the prime factors of 35648 and 35652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35648 and 35652.

How to find the GCF of 35648 and 35652?

We will first find the prime factorization of 35648 and 35652. After we will calculate the factors of 35648 and 35652 and find the biggest common factor number .

Step-1: Prime Factorization of 35648

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

35648 = 2⁶ × 557¹

Step-2: Prime Factorization of 35652

Prime factors of 35652 are 2, 3, 2971. Prime factorization of 35652 in exponential form is:

35652 = 2² × 3¹ × 2971¹

Step-3: Factors of 35648

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

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

Step-4: Factors of 35652

List of positive integer factors of 35652 that divides 35648 without a remainder.

1, 2, 3, 4, 6, 12, 2971, 5942, 8913, 11884, 17826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35648 and 35652. The biggest common factor number is the GCF number.
So the greatest common factor 35648 and 35652 is 4.

Also check out the Least Common Multiple of 35648 and 35652