What is the Greatest Common Factor of 69738 and 69758?

Greatest common factor (GCF) of 69738 and 69758 is 2.

GCF(69738,69758) = 2

We will now calculate the prime factors of 69738 and 69758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69738 and 69758.

How to find the GCF of 69738 and 69758?

We will first find the prime factorization of 69738 and 69758. After we will calculate the factors of 69738 and 69758 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69758

Prime factors of 69758 are 2, 13, 2683. Prime factorization of 69758 in exponential form is:

69758 = 2¹ × 13¹ × 2683¹

Step-3: Factors of 69738

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

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

Step-4: Factors of 69758

List of positive integer factors of 69758 that divides 69738 without a remainder.

1, 2, 13, 26, 2683, 5366, 34879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69738 and 69758. The biggest common factor number is the GCF number.
So the greatest common factor 69738 and 69758 is 2.

Also check out the Least Common Multiple of 69738 and 69758