What is the Greatest Common Factor of 71020 and 71035?

Greatest common factor (GCF) of 71020 and 71035 is 5.

GCF(71020,71035) = 5

We will now calculate the prime factors of 71020 and 71035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71020 and 71035.

How to find the GCF of 71020 and 71035?

We will first find the prime factorization of 71020 and 71035. After we will calculate the factors of 71020 and 71035 and find the biggest common factor number .

Step-1: Prime Factorization of 71020

Prime factors of 71020 are 2, 5, 53, 67. Prime factorization of 71020 in exponential form is:

71020 = 2² × 5¹ × 53¹ × 67¹

Step-2: Prime Factorization of 71035

Prime factors of 71035 are 5, 14207. Prime factorization of 71035 in exponential form is:

71035 = 5¹ × 14207¹

Step-3: Factors of 71020

List of positive integer factors of 71020 that divides 71020 without a remainder.

1, 2, 4, 5, 10, 20, 53, 67, 106, 134, 212, 265, 268, 335, 530, 670, 1060, 1340, 3551, 7102, 14204, 17755, 35510

Step-4: Factors of 71035

List of positive integer factors of 71035 that divides 71020 without a remainder.

1, 5, 14207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71020 and 71035. The biggest common factor number is the GCF number.
So the greatest common factor 71020 and 71035 is 5.

Also check out the Least Common Multiple of 71020 and 71035