What is the Greatest Common Factor of 71190 and 71205?

Greatest common factor (GCF) of 71190 and 71205 is 15.

GCF(71190,71205) = 15

We will now calculate the prime factors of 71190 and 71205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71190 and 71205.

How to find the GCF of 71190 and 71205?

We will first find the prime factorization of 71190 and 71205. After we will calculate the factors of 71190 and 71205 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 71190

List of positive integer factors of 71190 that divides 71190 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

Step-4: Factors of 71205

List of positive integer factors of 71205 that divides 71190 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71190 and 71205. The biggest common factor number is the GCF number.
So the greatest common factor 71190 and 71205 is 15.

Also check out the Least Common Multiple of 71190 and 71205