What is the Greatest Common Factor of 69738 and 69744?

Greatest common factor (GCF) of 69738 and 69744 is 6.

GCF(69738,69744) = 6

We will now calculate the prime factors of 69738 and 69744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69738 and 69744.

How to find the GCF of 69738 and 69744?

We will first find the prime factorization of 69738 and 69744. After we will calculate the factors of 69738 and 69744 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 69744

Prime factors of 69744 are 2, 3, 1453. Prime factorization of 69744 in exponential form is:

69744 = 2⁴ × 3¹ × 1453¹

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 69744

List of positive integer factors of 69744 that divides 69738 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1453, 2906, 4359, 5812, 8718, 11624, 17436, 23248, 34872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69738 and 69744. The biggest common factor number is the GCF number.
So the greatest common factor 69738 and 69744 is 6.

Also check out the Least Common Multiple of 69738 and 69744