What is the Greatest Common Factor of 87792 and 87796?

Greatest common factor (GCF) of 87792 and 87796 is 4.

GCF(87792,87796) = 4

We will now calculate the prime factors of 87792 and 87796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87792 and 87796.

How to find the GCF of 87792 and 87796?

We will first find the prime factorization of 87792 and 87796. After we will calculate the factors of 87792 and 87796 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 87796

Prime factors of 87796 are 2, 47, 467. Prime factorization of 87796 in exponential form is:

87796 = 2² × 47¹ × 467¹

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 87796

List of positive integer factors of 87796 that divides 87792 without a remainder.

1, 2, 4, 47, 94, 188, 467, 934, 1868, 21949, 43898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87792 and 87796. The biggest common factor number is the GCF number.
So the greatest common factor 87792 and 87796 is 4.

Also check out the Least Common Multiple of 87792 and 87796