What is the Greatest Common Factor of 70910 and 70929?

Greatest common factor (GCF) of 70910 and 70929 is 1.

GCF(70910,70929) = 1

We will now calculate the prime factors of 70910 and 70929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70910 and 70929.

How to find the GCF of 70910 and 70929?

We will first find the prime factorization of 70910 and 70929. After we will calculate the factors of 70910 and 70929 and find the biggest common factor number .

Step-1: Prime Factorization of 70910

Prime factors of 70910 are 2, 5, 7, 1013. Prime factorization of 70910 in exponential form is:

70910 = 2¹ × 5¹ × 7¹ × 1013¹

Step-2: Prime Factorization of 70929

Prime factors of 70929 are 3, 37, 71. Prime factorization of 70929 in exponential form is:

70929 = 3³ × 37¹ × 71¹

Step-3: Factors of 70910

List of positive integer factors of 70910 that divides 70910 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1013, 2026, 5065, 7091, 10130, 14182, 35455

Step-4: Factors of 70929

List of positive integer factors of 70929 that divides 70910 without a remainder.

1, 3, 9, 27, 37, 71, 111, 213, 333, 639, 999, 1917, 2627, 7881, 23643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70910 and 70929. The biggest common factor number is the GCF number.
So the greatest common factor 70910 and 70929 is 1.

Also check out the Least Common Multiple of 70910 and 70929