What is the Greatest Common Factor of 87792 and 87801?

Greatest common factor (GCF) of 87792 and 87801 is 3.

GCF(87792,87801) = 3

We will now calculate the prime factors of 87792 and 87801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87792 and 87801.

How to find the GCF of 87792 and 87801?

We will first find the prime factorization of 87792 and 87801. After we will calculate the factors of 87792 and 87801 and find the biggest common factor number .

Step-1: Prime Factorization of 87792

Prime factors of 87792 are 2, 3, 31, 59. Prime factorization of 87792 in exponential form is:

87792 = 2⁴ × 3¹ × 31¹ × 59¹

Step-2: Prime Factorization of 87801

Prime factors of 87801 are 3, 7, 37, 113. Prime factorization of 87801 in exponential form is:

87801 = 3¹ × 7¹ × 37¹ × 113¹

Step-3: Factors of 87792

List of positive integer factors of 87792 that divides 87792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 59, 62, 93, 118, 124, 177, 186, 236, 248, 354, 372, 472, 496, 708, 744, 944, 1416, 1488, 1829, 2832, 3658, 5487, 7316, 10974, 14632, 21948, 29264, 43896

Step-4: Factors of 87801

List of positive integer factors of 87801 that divides 87792 without a remainder.

1, 3, 7, 21, 37, 111, 113, 259, 339, 777, 791, 2373, 4181, 12543, 29267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87792 and 87801. The biggest common factor number is the GCF number.
So the greatest common factor 87792 and 87801 is 3.

Also check out the Least Common Multiple of 87792 and 87801