What is the Greatest Common Factor of 88466 and 88480?

Greatest common factor (GCF) of 88466 and 88480 is 14.

GCF(88466,88480) = 14

We will now calculate the prime factors of 88466 and 88480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88466 and 88480.

How to find the GCF of 88466 and 88480?

We will first find the prime factorization of 88466 and 88480. After we will calculate the factors of 88466 and 88480 and find the biggest common factor number .

Step-1: Prime Factorization of 88466

Prime factors of 88466 are 2, 7, 71, 89. Prime factorization of 88466 in exponential form is:

88466 = 2¹ × 7¹ × 71¹ × 89¹

Step-2: 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-3: Factors of 88466

List of positive integer factors of 88466 that divides 88466 without a remainder.

1, 2, 7, 14, 71, 89, 142, 178, 497, 623, 994, 1246, 6319, 12638, 44233

Step-4: Factors of 88480

List of positive integer factors of 88480 that divides 88466 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88466 and 88480. The biggest common factor number is the GCF number.
So the greatest common factor 88466 and 88480 is 14.

Also check out the Least Common Multiple of 88466 and 88480