What is the Greatest Common Factor of 71200 and 71218?

Greatest common factor (GCF) of 71200 and 71218 is 2.

GCF(71200,71218) = 2

We will now calculate the prime factors of 71200 and 71218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71200 and 71218.

How to find the GCF of 71200 and 71218?

We will first find the prime factorization of 71200 and 71218. After we will calculate the factors of 71200 and 71218 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 71218

Prime factors of 71218 are 2, 7, 5087. Prime factorization of 71218 in exponential form is:

71218 = 2¹ × 7¹ × 5087¹

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 71218

List of positive integer factors of 71218 that divides 71200 without a remainder.

1, 2, 7, 14, 5087, 10174, 35609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71200 and 71218. The biggest common factor number is the GCF number.
So the greatest common factor 71200 and 71218 is 2.

Also check out the Least Common Multiple of 71200 and 71218