What is the Greatest Common Factor of 71536 and 71544?

Greatest common factor (GCF) of 71536 and 71544 is 8.

GCF(71536,71544) = 8

We will now calculate the prime factors of 71536 and 71544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71536 and 71544.

How to find the GCF of 71536 and 71544?

We will first find the prime factorization of 71536 and 71544. After we will calculate the factors of 71536 and 71544 and find the biggest common factor number .

Step-1: Prime Factorization of 71536

Prime factors of 71536 are 2, 17, 263. Prime factorization of 71536 in exponential form is:

71536 = 2⁴ × 17¹ × 263¹

Step-2: Prime Factorization of 71544

Prime factors of 71544 are 2, 3, 11, 271. Prime factorization of 71544 in exponential form is:

71544 = 2³ × 3¹ × 11¹ × 271¹

Step-3: Factors of 71536

List of positive integer factors of 71536 that divides 71536 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 263, 272, 526, 1052, 2104, 4208, 4471, 8942, 17884, 35768

Step-4: Factors of 71544

List of positive integer factors of 71544 that divides 71536 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 271, 542, 813, 1084, 1626, 2168, 2981, 3252, 5962, 6504, 8943, 11924, 17886, 23848, 35772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71536 and 71544. The biggest common factor number is the GCF number.
So the greatest common factor 71536 and 71544 is 8.

Also check out the Least Common Multiple of 71536 and 71544