What is the Greatest Common Factor of 69734 and 69738?

Greatest common factor (GCF) of 69734 and 69738 is 2.

GCF(69734,69738) = 2

We will now calculate the prime factors of 69734 and 69738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69734 and 69738.

How to find the GCF of 69734 and 69738?

We will first find the prime factorization of 69734 and 69738. After we will calculate the factors of 69734 and 69738 and find the biggest common factor number .

Step-1: Prime Factorization of 69734

Prime factors of 69734 are 2, 7, 17, 293. Prime factorization of 69734 in exponential form is:

69734 = 2¹ × 7¹ × 17¹ × 293¹

Step-2: Prime Factorization of 69738

Prime factors of 69738 are 2, 3, 59, 197. Prime factorization of 69738 in exponential form is:

69738 = 2¹ × 3¹ × 59¹ × 197¹

Step-3: Factors of 69734

List of positive integer factors of 69734 that divides 69734 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 293, 586, 2051, 4102, 4981, 9962, 34867

Step-4: Factors of 69738

List of positive integer factors of 69738 that divides 69734 without a remainder.

1, 2, 3, 6, 59, 118, 177, 197, 354, 394, 591, 1182, 11623, 23246, 34869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69734 and 69738. The biggest common factor number is the GCF number.
So the greatest common factor 69734 and 69738 is 2.

Also check out the Least Common Multiple of 69734 and 69738