What is the Greatest Common Factor of 71229 and 71235?

Greatest common factor (GCF) of 71229 and 71235 is 3.

GCF(71229,71235) = 3

We will now calculate the prime factors of 71229 and 71235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71229 and 71235.

How to find the GCF of 71229 and 71235?

We will first find the prime factorization of 71229 and 71235. After we will calculate the factors of 71229 and 71235 and find the biggest common factor number .

Step-1: Prime Factorization of 71229

Prime factors of 71229 are 3, 23743. Prime factorization of 71229 in exponential form is:

71229 = 3¹ × 23743¹

Step-2: 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-3: Factors of 71229

List of positive integer factors of 71229 that divides 71229 without a remainder.

1, 3, 23743

Step-4: Factors of 71235

List of positive integer factors of 71235 that divides 71229 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71229 and 71235. The biggest common factor number is the GCF number.
So the greatest common factor 71229 and 71235 is 3.

Also check out the Least Common Multiple of 71229 and 71235