What is the Greatest Common Factor of 70738 and 70756?

Greatest common factor (GCF) of 70738 and 70756 is 2.

GCF(70738,70756) = 2

We will now calculate the prime factors of 70738 and 70756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70738 and 70756.

How to find the GCF of 70738 and 70756?

We will first find the prime factorization of 70738 and 70756. After we will calculate the factors of 70738 and 70756 and find the biggest common factor number .

Step-1: Prime Factorization of 70738

Prime factors of 70738 are 2, 113, 313. Prime factorization of 70738 in exponential form is:

70738 = 2¹ × 113¹ × 313¹

Step-2: Prime Factorization of 70756

Prime factors of 70756 are 2, 7, 19. Prime factorization of 70756 in exponential form is:

70756 = 2² × 7² × 19²

Step-3: Factors of 70738

List of positive integer factors of 70738 that divides 70738 without a remainder.

1, 2, 113, 226, 313, 626, 35369

Step-4: Factors of 70756

List of positive integer factors of 70756 that divides 70738 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 361, 532, 722, 931, 1444, 1862, 2527, 3724, 5054, 10108, 17689, 35378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70738 and 70756. The biggest common factor number is the GCF number.
So the greatest common factor 70738 and 70756 is 2.

Also check out the Least Common Multiple of 70738 and 70756