What is the Greatest Common Factor of 71264 and 71282?

Greatest common factor (GCF) of 71264 and 71282 is 2.

GCF(71264,71282) = 2

We will now calculate the prime factors of 71264 and 71282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71264 and 71282.

How to find the GCF of 71264 and 71282?

We will first find the prime factorization of 71264 and 71282. After we will calculate the factors of 71264 and 71282 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71282

Prime factors of 71282 are 2, 29, 1229. Prime factorization of 71282 in exponential form is:

71282 = 2¹ × 29¹ × 1229¹

Step-3: Factors of 71264

List of positive integer factors of 71264 that divides 71264 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

Step-4: Factors of 71282

List of positive integer factors of 71282 that divides 71264 without a remainder.

1, 2, 29, 58, 1229, 2458, 35641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71264 and 71282. The biggest common factor number is the GCF number.
So the greatest common factor 71264 and 71282 is 2.

Also check out the Least Common Multiple of 71264 and 71282