What is the Greatest Common Factor of 71288 and 71302?

Greatest common factor (GCF) of 71288 and 71302 is 14.

GCF(71288,71302) = 14

We will now calculate the prime factors of 71288 and 71302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71288 and 71302.

How to find the GCF of 71288 and 71302?

We will first find the prime factorization of 71288 and 71302. After we will calculate the factors of 71288 and 71302 and find the biggest common factor number .

Step-1: Prime Factorization of 71288

Prime factors of 71288 are 2, 7, 19, 67. Prime factorization of 71288 in exponential form is:

71288 = 2³ × 7¹ × 19¹ × 67¹

Step-2: Prime Factorization of 71302

Prime factors of 71302 are 2, 7, 11, 463. Prime factorization of 71302 in exponential form is:

71302 = 2¹ × 7¹ × 11¹ × 463¹

Step-3: Factors of 71288

List of positive integer factors of 71288 that divides 71288 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 67, 76, 133, 134, 152, 266, 268, 469, 532, 536, 938, 1064, 1273, 1876, 2546, 3752, 5092, 8911, 10184, 17822, 35644

Step-4: Factors of 71302

List of positive integer factors of 71302 that divides 71288 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 463, 926, 3241, 5093, 6482, 10186, 35651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71288 and 71302. The biggest common factor number is the GCF number.
So the greatest common factor 71288 and 71302 is 14.

Also check out the Least Common Multiple of 71288 and 71302