What is the Greatest Common Factor of 35224 and 35231?

Greatest common factor (GCF) of 35224 and 35231 is 7.

GCF(35224,35231) = 7

We will now calculate the prime factors of 35224 and 35231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35224 and 35231.

How to find the GCF of 35224 and 35231?

We will first find the prime factorization of 35224 and 35231. After we will calculate the factors of 35224 and 35231 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 35231

Prime factors of 35231 are 7, 719. Prime factorization of 35231 in exponential form is:

35231 = 7² × 719¹

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 35231

List of positive integer factors of 35231 that divides 35224 without a remainder.

1, 7, 49, 719, 5033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35224 and 35231. The biggest common factor number is the GCF number.
So the greatest common factor 35224 and 35231 is 7.

Also check out the Least Common Multiple of 35224 and 35231