What is the Greatest Common Factor of 71190 and 71204?

Greatest common factor (GCF) of 71190 and 71204 is 14.

GCF(71190,71204) = 14

We will now calculate the prime factors of 71190 and 71204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71190 and 71204.

How to find the GCF of 71190 and 71204?

We will first find the prime factorization of 71190 and 71204. After we will calculate the factors of 71190 and 71204 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 71204

Prime factors of 71204 are 2, 7, 2543. Prime factorization of 71204 in exponential form is:

71204 = 2² × 7¹ × 2543¹

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 71204

List of positive integer factors of 71204 that divides 71190 without a remainder.

1, 2, 4, 7, 14, 28, 2543, 5086, 10172, 17801, 35602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71190 and 71204. The biggest common factor number is the GCF number.
So the greatest common factor 71190 and 71204 is 14.

Also check out the Least Common Multiple of 71190 and 71204