What is the Greatest Common Factor of 71022 and 71040?

Greatest common factor (GCF) of 71022 and 71040 is 6.

GCF(71022,71040) = 6

We will now calculate the prime factors of 71022 and 71040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71022 and 71040.

How to find the GCF of 71022 and 71040?

We will first find the prime factorization of 71022 and 71040. After we will calculate the factors of 71022 and 71040 and find the biggest common factor number .

Step-1: Prime Factorization of 71022

Prime factors of 71022 are 2, 3, 7, 19, 89. Prime factorization of 71022 in exponential form is:

71022 = 2¹ × 3¹ × 7¹ × 19¹ × 89¹

Step-2: Prime Factorization of 71040

Prime factors of 71040 are 2, 3, 5, 37. Prime factorization of 71040 in exponential form is:

71040 = 2⁷ × 3¹ × 5¹ × 37¹

Step-3: Factors of 71022

List of positive integer factors of 71022 that divides 71022 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 89, 114, 133, 178, 266, 267, 399, 534, 623, 798, 1246, 1691, 1869, 3382, 3738, 5073, 10146, 11837, 23674, 35511

Step-4: Factors of 71040

List of positive integer factors of 71040 that divides 71022 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37, 40, 48, 60, 64, 74, 80, 96, 111, 120, 128, 148, 160, 185, 192, 222, 240, 296, 320, 370, 384, 444, 480, 555, 592, 640, 740, 888, 960, 1110, 1184, 1480, 1776, 1920, 2220, 2368, 2960, 3552, 4440, 4736, 5920, 7104, 8880, 11840, 14208, 17760, 23680, 35520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71022 and 71040. The biggest common factor number is the GCF number.
So the greatest common factor 71022 and 71040 is 6.

Also check out the Least Common Multiple of 71022 and 71040