What is the Greatest Common Factor of 71070 and 71078?

Greatest common factor (GCF) of 71070 and 71078 is 2.

GCF(71070,71078) = 2

We will now calculate the prime factors of 71070 and 71078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71070 and 71078.

How to find the GCF of 71070 and 71078?

We will first find the prime factorization of 71070 and 71078. After we will calculate the factors of 71070 and 71078 and find the biggest common factor number .

Step-1: Prime Factorization of 71070

Prime factors of 71070 are 2, 3, 5, 23, 103. Prime factorization of 71070 in exponential form is:

71070 = 2¹ × 3¹ × 5¹ × 23¹ × 103¹

Step-2: Prime Factorization of 71078

Prime factors of 71078 are 2, 7, 5077. Prime factorization of 71078 in exponential form is:

71078 = 2¹ × 7¹ × 5077¹

Step-3: Factors of 71070

List of positive integer factors of 71070 that divides 71070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 103, 115, 138, 206, 230, 309, 345, 515, 618, 690, 1030, 1545, 2369, 3090, 4738, 7107, 11845, 14214, 23690, 35535

Step-4: Factors of 71078

List of positive integer factors of 71078 that divides 71070 without a remainder.

1, 2, 7, 14, 5077, 10154, 35539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71070 and 71078. The biggest common factor number is the GCF number.
So the greatest common factor 71070 and 71078 is 2.

Also check out the Least Common Multiple of 71070 and 71078