What is the Greatest Common Factor of 71175 and 71190?

Greatest common factor (GCF) of 71175 and 71190 is 15.

GCF(71175,71190) = 15

We will now calculate the prime factors of 71175 and 71190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71175 and 71190.

How to find the GCF of 71175 and 71190?

We will first find the prime factorization of 71175 and 71190. After we will calculate the factors of 71175 and 71190 and find the biggest common factor number .

Step-1: Prime Factorization of 71175

Prime factors of 71175 are 3, 5, 13, 73. Prime factorization of 71175 in exponential form is:

71175 = 3¹ × 5² × 13¹ × 73¹

Step-2: Prime Factorization of 71190

Prime factors of 71190 are 2, 3, 5, 7, 113. Prime factorization of 71190 in exponential form is:

71190 = 2¹ × 3² × 5¹ × 7¹ × 113¹

Step-3: Factors of 71175

List of positive integer factors of 71175 that divides 71175 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 73, 75, 195, 219, 325, 365, 949, 975, 1095, 1825, 2847, 4745, 5475, 14235, 23725

Step-4: Factors of 71190

List of positive integer factors of 71190 that divides 71175 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 113, 126, 210, 226, 315, 339, 565, 630, 678, 791, 1017, 1130, 1582, 1695, 2034, 2373, 3390, 3955, 4746, 5085, 7119, 7910, 10170, 11865, 14238, 23730, 35595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71175 and 71190. The biggest common factor number is the GCF number.
So the greatest common factor 71175 and 71190 is 15.

Also check out the Least Common Multiple of 71175 and 71190