What is the Greatest Common Factor of 71225 and 71232?

Greatest common factor (GCF) of 71225 and 71232 is 7.

GCF(71225,71232) = 7

We will now calculate the prime factors of 71225 and 71232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71225 and 71232.

How to find the GCF of 71225 and 71232?

We will first find the prime factorization of 71225 and 71232. After we will calculate the factors of 71225 and 71232 and find the biggest common factor number .

Step-1: Prime Factorization of 71225

Prime factors of 71225 are 5, 7, 11, 37. Prime factorization of 71225 in exponential form is:

71225 = 5² × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 71232

Prime factors of 71232 are 2, 3, 7, 53. Prime factorization of 71232 in exponential form is:

71232 = 2⁶ × 3¹ × 7¹ × 53¹

Step-3: Factors of 71225

List of positive integer factors of 71225 that divides 71225 without a remainder.

1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925, 1295, 1925, 2035, 2849, 6475, 10175, 14245

Step-4: Factors of 71232

List of positive integer factors of 71232 that divides 71225 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 53, 56, 64, 84, 96, 106, 112, 159, 168, 192, 212, 224, 318, 336, 371, 424, 448, 636, 672, 742, 848, 1113, 1272, 1344, 1484, 1696, 2226, 2544, 2968, 3392, 4452, 5088, 5936, 8904, 10176, 11872, 17808, 23744, 35616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71225 and 71232. The biggest common factor number is the GCF number.
So the greatest common factor 71225 and 71232 is 7.

Also check out the Least Common Multiple of 71225 and 71232