What is the Greatest Common Factor of 71205 and 71220?

Greatest common factor (GCF) of 71205 and 71220 is 15.

GCF(71205,71220) = 15

We will now calculate the prime factors of 71205 and 71220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71205 and 71220.

How to find the GCF of 71205 and 71220?

We will first find the prime factorization of 71205 and 71220. After we will calculate the factors of 71205 and 71220 and find the biggest common factor number .

Step-1: Prime Factorization of 71205

Prime factors of 71205 are 3, 5, 47, 101. Prime factorization of 71205 in exponential form is:

71205 = 3¹ × 5¹ × 47¹ × 101¹

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 71205

List of positive integer factors of 71205 that divides 71205 without a remainder.

1, 3, 5, 15, 47, 101, 141, 235, 303, 505, 705, 1515, 4747, 14241, 23735

Step-4: Factors of 71220

List of positive integer factors of 71220 that divides 71205 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 71205 and 71220. The biggest common factor number is the GCF number.
So the greatest common factor 71205 and 71220 is 15.

Also check out the Least Common Multiple of 71205 and 71220