What is the Greatest Common Factor of 71248 and 71264?

Greatest common factor (GCF) of 71248 and 71264 is 16.

GCF(71248,71264) = 16

We will now calculate the prime factors of 71248 and 71264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71248 and 71264.

How to find the GCF of 71248 and 71264?

We will first find the prime factorization of 71248 and 71264. After we will calculate the factors of 71248 and 71264 and find the biggest common factor number .

Step-1: Prime Factorization of 71248

Prime factors of 71248 are 2, 61, 73. Prime factorization of 71248 in exponential form is:

71248 = 2⁴ × 61¹ × 73¹

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 71248

List of positive integer factors of 71248 that divides 71248 without a remainder.

1, 2, 4, 8, 16, 61, 73, 122, 146, 244, 292, 488, 584, 976, 1168, 4453, 8906, 17812, 35624

Step-4: Factors of 71264

List of positive integer factors of 71264 that divides 71248 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 71248 and 71264. The biggest common factor number is the GCF number.
So the greatest common factor 71248 and 71264 is 16.

Also check out the Least Common Multiple of 71248 and 71264