What is the Greatest Common Factor of 88480 and 88492?

Greatest common factor (GCF) of 88480 and 88492 is 4.

GCF(88480,88492) = 4

We will now calculate the prime factors of 88480 and 88492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88480 and 88492.

How to find the GCF of 88480 and 88492?

We will first find the prime factorization of 88480 and 88492. After we will calculate the factors of 88480 and 88492 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 88492

Prime factors of 88492 are 2, 22123. Prime factorization of 88492 in exponential form is:

88492 = 2² × 22123¹

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 88492

List of positive integer factors of 88492 that divides 88480 without a remainder.

1, 2, 4, 22123, 44246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88480 and 88492. The biggest common factor number is the GCF number.
So the greatest common factor 88480 and 88492 is 4.

Also check out the Least Common Multiple of 88480 and 88492