What is the Greatest Common Factor of 71148 and 71153?

Greatest common factor (GCF) of 71148 and 71153 is 1.

GCF(71148,71153) = 1

We will now calculate the prime factors of 71148 and 71153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71148 and 71153.

How to find the GCF of 71148 and 71153?

We will first find the prime factorization of 71148 and 71153. After we will calculate the factors of 71148 and 71153 and find the biggest common factor number .

Step-1: Prime Factorization of 71148

Prime factors of 71148 are 2, 3, 7, 11. Prime factorization of 71148 in exponential form is:

71148 = 2² × 3¹ × 7² × 11²

Step-2: Prime Factorization of 71153

Prime factors of 71153 are 71153. Prime factorization of 71153 in exponential form is:

71153 = 71153¹

Step-3: Factors of 71148

List of positive integer factors of 71148 that divides 71148 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 121, 132, 147, 154, 196, 231, 242, 294, 308, 363, 462, 484, 539, 588, 726, 847, 924, 1078, 1452, 1617, 1694, 2156, 2541, 3234, 3388, 5082, 5929, 6468, 10164, 11858, 17787, 23716, 35574

Step-4: Factors of 71153

List of positive integer factors of 71153 that divides 71148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71148 and 71153. The biggest common factor number is the GCF number.
So the greatest common factor 71148 and 71153 is 1.

Also check out the Least Common Multiple of 71148 and 71153