What is the Greatest Common Factor of 88480 and 88489?

Greatest common factor (GCF) of 88480 and 88489 is 1.

GCF(88480,88489) = 1

We will now calculate the prime factors of 88480 and 88489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88480 and 88489.

How to find the GCF of 88480 and 88489?

We will first find the prime factorization of 88480 and 88489. After we will calculate the factors of 88480 and 88489 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 88489

Prime factors of 88489 are 107, 827. Prime factorization of 88489 in exponential form is:

88489 = 107¹ × 827¹

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 88489

List of positive integer factors of 88489 that divides 88480 without a remainder.

1, 107, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88480 and 88489. The biggest common factor number is the GCF number.
So the greatest common factor 88480 and 88489 is 1.

Also check out the Least Common Multiple of 88480 and 88489