What is the Greatest Common Factor of 71200 and 71220?

Greatest common factor (GCF) of 71200 and 71220 is 20.

GCF(71200,71220) = 20

We will now calculate the prime factors of 71200 and 71220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71200 and 71220.

How to find the GCF of 71200 and 71220?

We will first find the prime factorization of 71200 and 71220. After we will calculate the factors of 71200 and 71220 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 71220

Prime factors of 71220 are 2, 3, 5, 1187. Prime factorization of 71220 in exponential form is:

71220 = 2² × 3¹ × 5¹ × 1187¹

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 71220

List of positive integer factors of 71220 that divides 71200 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1187, 2374, 3561, 4748, 5935, 7122, 11870, 14244, 17805, 23740, 35610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71200 and 71220. The biggest common factor number is the GCF number.
So the greatest common factor 71200 and 71220 is 20.

Also check out the Least Common Multiple of 71200 and 71220