What is the Greatest Common Factor of 69472 and 69476?

Greatest common factor (GCF) of 69472 and 69476 is 4.

GCF(69472,69476) = 4

We will now calculate the prime factors of 69472 and 69476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69472 and 69476.

How to find the GCF of 69472 and 69476?

We will first find the prime factorization of 69472 and 69476. After we will calculate the factors of 69472 and 69476 and find the biggest common factor number .

Step-1: Prime Factorization of 69472

Prime factors of 69472 are 2, 13, 167. Prime factorization of 69472 in exponential form is:

69472 = 2⁵ × 13¹ × 167¹

Step-2: Prime Factorization of 69476

Prime factors of 69476 are 2, 11, 1579. Prime factorization of 69476 in exponential form is:

69476 = 2² × 11¹ × 1579¹

Step-3: Factors of 69472

List of positive integer factors of 69472 that divides 69472 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 167, 208, 334, 416, 668, 1336, 2171, 2672, 4342, 5344, 8684, 17368, 34736

Step-4: Factors of 69476

List of positive integer factors of 69476 that divides 69472 without a remainder.

1, 2, 4, 11, 22, 44, 1579, 3158, 6316, 17369, 34738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69472 and 69476. The biggest common factor number is the GCF number.
So the greatest common factor 69472 and 69476 is 4.

Also check out the Least Common Multiple of 69472 and 69476