What is the Greatest Common Factor of 70707 and 70714?

Greatest common factor (GCF) of 70707 and 70714 is 7.

GCF(70707,70714) = 7

We will now calculate the prime factors of 70707 and 70714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70707 and 70714.

How to find the GCF of 70707 and 70714?

We will first find the prime factorization of 70707 and 70714. After we will calculate the factors of 70707 and 70714 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 70714

Prime factors of 70714 are 2, 7, 5051. Prime factorization of 70714 in exponential form is:

70714 = 2¹ × 7¹ × 5051¹

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 70714

List of positive integer factors of 70714 that divides 70707 without a remainder.

1, 2, 7, 14, 5051, 10102, 35357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70707 and 70714. The biggest common factor number is the GCF number.
So the greatest common factor 70707 and 70714 is 7.

Also check out the Least Common Multiple of 70707 and 70714