What is the Greatest Common Factor of 69488 and 69496?

Greatest common factor (GCF) of 69488 and 69496 is 8.

GCF(69488,69496) = 8

We will now calculate the prime factors of 69488 and 69496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69488 and 69496.

How to find the GCF of 69488 and 69496?

We will first find the prime factorization of 69488 and 69496. After we will calculate the factors of 69488 and 69496 and find the biggest common factor number .

Step-1: Prime Factorization of 69488

Prime factors of 69488 are 2, 43, 101. Prime factorization of 69488 in exponential form is:

69488 = 2⁴ × 43¹ × 101¹

Step-2: Prime Factorization of 69496

Prime factors of 69496 are 2, 7, 17, 73. Prime factorization of 69496 in exponential form is:

69496 = 2³ × 7¹ × 17¹ × 73¹

Step-3: Factors of 69488

List of positive integer factors of 69488 that divides 69488 without a remainder.

1, 2, 4, 8, 16, 43, 86, 101, 172, 202, 344, 404, 688, 808, 1616, 4343, 8686, 17372, 34744

Step-4: Factors of 69496

List of positive integer factors of 69496 that divides 69488 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 73, 119, 136, 146, 238, 292, 476, 511, 584, 952, 1022, 1241, 2044, 2482, 4088, 4964, 8687, 9928, 17374, 34748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69488 and 69496. The biggest common factor number is the GCF number.
So the greatest common factor 69488 and 69496 is 8.

Also check out the Least Common Multiple of 69488 and 69496