What is the Greatest Common Factor of 71200 and 71210?

Greatest common factor (GCF) of 71200 and 71210 is 10.

GCF(71200,71210) = 10

We will now calculate the prime factors of 71200 and 71210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71200 and 71210.

How to find the GCF of 71200 and 71210?

We will first find the prime factorization of 71200 and 71210. After we will calculate the factors of 71200 and 71210 and find the biggest common factor number .

Step-1: Prime Factorization of 71200

Prime factors of 71200 are 2, 5, 89. Prime factorization of 71200 in exponential form is:

71200 = 2⁵ × 5² × 89¹

Step-2: Prime Factorization of 71210

Prime factors of 71210 are 2, 5, 7121. Prime factorization of 71210 in exponential form is:

71210 = 2¹ × 5¹ × 7121¹

Step-3: Factors of 71200

List of positive integer factors of 71200 that divides 71200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 89, 100, 160, 178, 200, 356, 400, 445, 712, 800, 890, 1424, 1780, 2225, 2848, 3560, 4450, 7120, 8900, 14240, 17800, 35600

Step-4: Factors of 71210

List of positive integer factors of 71210 that divides 71200 without a remainder.

1, 2, 5, 10, 7121, 14242, 35605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71200 and 71210. The biggest common factor number is the GCF number.
So the greatest common factor 71200 and 71210 is 10.

Also check out the Least Common Multiple of 71200 and 71210