What is the Greatest Common Factor of 35224 and 35236?

Greatest common factor (GCF) of 35224 and 35236 is 4.

GCF(35224,35236) = 4

We will now calculate the prime factors of 35224 and 35236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35224 and 35236.

How to find the GCF of 35224 and 35236?

We will first find the prime factorization of 35224 and 35236. After we will calculate the factors of 35224 and 35236 and find the biggest common factor number .

Step-1: Prime Factorization of 35224

Prime factors of 35224 are 2, 7, 17, 37. Prime factorization of 35224 in exponential form is:

35224 = 2³ × 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 35236

Prime factors of 35236 are 2, 23, 383. Prime factorization of 35236 in exponential form is:

35236 = 2² × 23¹ × 383¹

Step-3: Factors of 35224

List of positive integer factors of 35224 that divides 35224 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 37, 56, 68, 74, 119, 136, 148, 238, 259, 296, 476, 518, 629, 952, 1036, 1258, 2072, 2516, 4403, 5032, 8806, 17612

Step-4: Factors of 35236

List of positive integer factors of 35236 that divides 35224 without a remainder.

1, 2, 4, 23, 46, 92, 383, 766, 1532, 8809, 17618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35224 and 35236. The biggest common factor number is the GCF number.
So the greatest common factor 35224 and 35236 is 4.

Also check out the Least Common Multiple of 35224 and 35236