What is the Greatest Common Factor of 71288 and 71308?

Greatest common factor (GCF) of 71288 and 71308 is 4.

GCF(71288,71308) = 4

We will now calculate the prime factors of 71288 and 71308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71288 and 71308.

How to find the GCF of 71288 and 71308?

We will first find the prime factorization of 71288 and 71308. After we will calculate the factors of 71288 and 71308 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 71308

Prime factors of 71308 are 2, 17827. Prime factorization of 71308 in exponential form is:

71308 = 2² × 17827¹

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 71308

List of positive integer factors of 71308 that divides 71288 without a remainder.

1, 2, 4, 17827, 35654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71288 and 71308. The biggest common factor number is the GCF number.
So the greatest common factor 71288 and 71308 is 4.

Also check out the Least Common Multiple of 71288 and 71308