What is the Greatest Common Factor of 88480 and 88496?

Greatest common factor (GCF) of 88480 and 88496 is 16.

GCF(88480,88496) = 16

We will now calculate the prime factors of 88480 and 88496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88480 and 88496.

How to find the GCF of 88480 and 88496?

We will first find the prime factorization of 88480 and 88496. After we will calculate the factors of 88480 and 88496 and find the biggest common factor number .

Step-1: Prime Factorization of 88480

Prime factors of 88480 are 2, 5, 7, 79. Prime factorization of 88480 in exponential form is:

88480 = 2⁵ × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 88496

Prime factors of 88496 are 2, 5531. Prime factorization of 88496 in exponential form is:

88496 = 2⁴ × 5531¹

Step-3: Factors of 88480

List of positive integer factors of 88480 that divides 88480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 79, 80, 112, 140, 158, 160, 224, 280, 316, 395, 553, 560, 632, 790, 1106, 1120, 1264, 1580, 2212, 2528, 2765, 3160, 4424, 5530, 6320, 8848, 11060, 12640, 17696, 22120, 44240

Step-4: Factors of 88496

List of positive integer factors of 88496 that divides 88480 without a remainder.

1, 2, 4, 8, 16, 5531, 11062, 22124, 44248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88480 and 88496. The biggest common factor number is the GCF number.
So the greatest common factor 88480 and 88496 is 16.

Also check out the Least Common Multiple of 88480 and 88496