What is the Greatest Common Factor of 87260 and 87264?

Greatest common factor (GCF) of 87260 and 87264 is 4.

GCF(87260,87264) = 4

We will now calculate the prime factors of 87260 and 87264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87260 and 87264.

How to find the GCF of 87260 and 87264?

We will first find the prime factorization of 87260 and 87264. After we will calculate the factors of 87260 and 87264 and find the biggest common factor number .

Step-1: Prime Factorization of 87260

Prime factors of 87260 are 2, 5, 4363. Prime factorization of 87260 in exponential form is:

87260 = 2² × 5¹ × 4363¹

Step-2: Prime Factorization of 87264

Prime factors of 87264 are 2, 3, 101. Prime factorization of 87264 in exponential form is:

87264 = 2⁵ × 3³ × 101¹

Step-3: Factors of 87260

List of positive integer factors of 87260 that divides 87260 without a remainder.

1, 2, 4, 5, 10, 20, 4363, 8726, 17452, 21815, 43630

Step-4: Factors of 87264

List of positive integer factors of 87264 that divides 87260 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 101, 108, 144, 202, 216, 288, 303, 404, 432, 606, 808, 864, 909, 1212, 1616, 1818, 2424, 2727, 3232, 3636, 4848, 5454, 7272, 9696, 10908, 14544, 21816, 29088, 43632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87260 and 87264. The biggest common factor number is the GCF number.
So the greatest common factor 87260 and 87264 is 4.

Also check out the Least Common Multiple of 87260 and 87264