What is the Greatest Common Factor of 71264 and 71268?

Greatest common factor (GCF) of 71264 and 71268 is 4.

GCF(71264,71268) = 4

We will now calculate the prime factors of 71264 and 71268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71264 and 71268.

How to find the GCF of 71264 and 71268?

We will first find the prime factorization of 71264 and 71268. After we will calculate the factors of 71264 and 71268 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 71268

Prime factors of 71268 are 2, 3, 5939. Prime factorization of 71268 in exponential form is:

71268 = 2² × 3¹ × 5939¹

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 71268

List of positive integer factors of 71268 that divides 71264 without a remainder.

1, 2, 3, 4, 6, 12, 5939, 11878, 17817, 23756, 35634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71264 and 71268. The biggest common factor number is the GCF number.
So the greatest common factor 71264 and 71268 is 4.

Also check out the Least Common Multiple of 71264 and 71268