What is the Greatest Common Factor of 71264 and 71284?

Greatest common factor (GCF) of 71264 and 71284 is 4.

GCF(71264,71284) = 4

We will now calculate the prime factors of 71264 and 71284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71264 and 71284.

How to find the GCF of 71264 and 71284?

We will first find the prime factorization of 71264 and 71284. After we will calculate the factors of 71264 and 71284 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 71284

Prime factors of 71284 are 2, 71, 251. Prime factorization of 71284 in exponential form is:

71284 = 2² × 71¹ × 251¹

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 71284

List of positive integer factors of 71284 that divides 71264 without a remainder.

1, 2, 4, 71, 142, 251, 284, 502, 1004, 17821, 35642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71264 and 71284. The biggest common factor number is the GCF number.
So the greatest common factor 71264 and 71284 is 4.

Also check out the Least Common Multiple of 71264 and 71284