What is the Greatest Common Factor of 70031 and 70044?

Greatest common factor (GCF) of 70031 and 70044 is 13.

GCF(70031,70044) = 13

We will now calculate the prime factors of 70031 and 70044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70031 and 70044.

How to find the GCF of 70031 and 70044?

We will first find the prime factorization of 70031 and 70044. After we will calculate the factors of 70031 and 70044 and find the biggest common factor number .

Step-1: Prime Factorization of 70031

Prime factors of 70031 are 13, 5387. Prime factorization of 70031 in exponential form is:

70031 = 13¹ × 5387¹

Step-2: Prime Factorization of 70044

Prime factors of 70044 are 2, 3, 13, 449. Prime factorization of 70044 in exponential form is:

70044 = 2² × 3¹ × 13¹ × 449¹

Step-3: Factors of 70031

List of positive integer factors of 70031 that divides 70031 without a remainder.

1, 13, 5387

Step-4: Factors of 70044

List of positive integer factors of 70044 that divides 70031 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 449, 898, 1347, 1796, 2694, 5388, 5837, 11674, 17511, 23348, 35022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70031 and 70044. The biggest common factor number is the GCF number.
So the greatest common factor 70031 and 70044 is 13.

Also check out the Least Common Multiple of 70031 and 70044