What is the Greatest Common Factor of 71100 and 71120?

Greatest common factor (GCF) of 71100 and 71120 is 20.

GCF(71100,71120) = 20

We will now calculate the prime factors of 71100 and 71120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71100 and 71120.

How to find the GCF of 71100 and 71120?

We will first find the prime factorization of 71100 and 71120. After we will calculate the factors of 71100 and 71120 and find the biggest common factor number .

Step-1: Prime Factorization of 71100

Prime factors of 71100 are 2, 3, 5, 79. Prime factorization of 71100 in exponential form is:

71100 = 2² × 3² × 5² × 79¹

Step-2: Prime Factorization of 71120

Prime factors of 71120 are 2, 5, 7, 127. Prime factorization of 71120 in exponential form is:

71120 = 2⁴ × 5¹ × 7¹ × 127¹

Step-3: Factors of 71100

List of positive integer factors of 71100 that divides 71100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 79, 90, 100, 150, 158, 180, 225, 237, 300, 316, 395, 450, 474, 711, 790, 900, 948, 1185, 1422, 1580, 1975, 2370, 2844, 3555, 3950, 4740, 5925, 7110, 7900, 11850, 14220, 17775, 23700, 35550

Step-4: Factors of 71120

List of positive integer factors of 71120 that divides 71100 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 127, 140, 254, 280, 508, 560, 635, 889, 1016, 1270, 1778, 2032, 2540, 3556, 4445, 5080, 7112, 8890, 10160, 14224, 17780, 35560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71100 and 71120. The biggest common factor number is the GCF number.
So the greatest common factor 71100 and 71120 is 20.

Also check out the Least Common Multiple of 71100 and 71120