What is the Greatest Common Factor of 71235 and 71251?

Greatest common factor (GCF) of 71235 and 71251 is 1.

GCF(71235,71251) = 1

We will now calculate the prime factors of 71235 and 71251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71235 and 71251.

How to find the GCF of 71235 and 71251?

We will first find the prime factorization of 71235 and 71251. After we will calculate the factors of 71235 and 71251 and find the biggest common factor number .

Step-1: Prime Factorization of 71235

Prime factors of 71235 are 3, 5, 1583. Prime factorization of 71235 in exponential form is:

71235 = 3² × 5¹ × 1583¹

Step-2: Prime Factorization of 71251

Prime factors of 71251 are 43, 1657. Prime factorization of 71251 in exponential form is:

71251 = 43¹ × 1657¹

Step-3: Factors of 71235

List of positive integer factors of 71235 that divides 71235 without a remainder.

1, 3, 5, 9, 15, 45, 1583, 4749, 7915, 14247, 23745

Step-4: Factors of 71251

List of positive integer factors of 71251 that divides 71235 without a remainder.

1, 43, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71235 and 71251. The biggest common factor number is the GCF number.
So the greatest common factor 71235 and 71251 is 1.

Also check out the Least Common Multiple of 71235 and 71251