What is the Greatest Common Factor of 70738 and 70751?

Greatest common factor (GCF) of 70738 and 70751 is 1.

GCF(70738,70751) = 1

We will now calculate the prime factors of 70738 and 70751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70738 and 70751.

How to find the GCF of 70738 and 70751?

We will first find the prime factorization of 70738 and 70751. After we will calculate the factors of 70738 and 70751 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 70751

Prime factors of 70751 are 139, 509. Prime factorization of 70751 in exponential form is:

70751 = 139¹ × 509¹

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 70751

List of positive integer factors of 70751 that divides 70738 without a remainder.

1, 139, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70738 and 70751. The biggest common factor number is the GCF number.
So the greatest common factor 70738 and 70751 is 1.

Also check out the Least Common Multiple of 70738 and 70751