What is the Greatest Common Factor of 70707 and 70721?

Greatest common factor (GCF) of 70707 and 70721 is 7.

GCF(70707,70721) = 7

We will now calculate the prime factors of 70707 and 70721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70707 and 70721.

How to find the GCF of 70707 and 70721?

We will first find the prime factorization of 70707 and 70721. After we will calculate the factors of 70707 and 70721 and find the biggest common factor number .

Step-1: Prime Factorization of 70707

Prime factors of 70707 are 3, 7, 13, 37. Prime factorization of 70707 in exponential form is:

70707 = 3¹ × 7² × 13¹ × 37¹

Step-2: Prime Factorization of 70721

Prime factors of 70721 are 7, 10103. Prime factorization of 70721 in exponential form is:

70721 = 7¹ × 10103¹

Step-3: Factors of 70707

List of positive integer factors of 70707 that divides 70707 without a remainder.

1, 3, 7, 13, 21, 37, 39, 49, 91, 111, 147, 259, 273, 481, 637, 777, 1443, 1813, 1911, 3367, 5439, 10101, 23569

Step-4: Factors of 70721

List of positive integer factors of 70721 that divides 70707 without a remainder.

1, 7, 10103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70707 and 70721. The biggest common factor number is the GCF number.
So the greatest common factor 70707 and 70721 is 7.

Also check out the Least Common Multiple of 70707 and 70721