What is the Greatest Common Factor of 71258 and 71264?

Greatest common factor (GCF) of 71258 and 71264 is 2.

GCF(71258,71264) = 2

We will now calculate the prime factors of 71258 and 71264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71258 and 71264.

How to find the GCF of 71258 and 71264?

We will first find the prime factorization of 71258 and 71264. After we will calculate the factors of 71258 and 71264 and find the biggest common factor number .

Step-1: Prime Factorization of 71258

Prime factors of 71258 are 2, 11, 41, 79. Prime factorization of 71258 in exponential form is:

71258 = 2¹ × 11¹ × 41¹ × 79¹

Step-2: Prime Factorization of 71264

Prime factors of 71264 are 2, 17, 131. Prime factorization of 71264 in exponential form is:

71264 = 2⁵ × 17¹ × 131¹

Step-3: Factors of 71258

List of positive integer factors of 71258 that divides 71258 without a remainder.

1, 2, 11, 22, 41, 79, 82, 158, 451, 869, 902, 1738, 3239, 6478, 35629

Step-4: Factors of 71264

List of positive integer factors of 71264 that divides 71258 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 131, 136, 262, 272, 524, 544, 1048, 2096, 2227, 4192, 4454, 8908, 17816, 35632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71258 and 71264. The biggest common factor number is the GCF number.
So the greatest common factor 71258 and 71264 is 2.

Also check out the Least Common Multiple of 71258 and 71264