What is the Greatest Common Factor of 87784 and 87792?

Greatest common factor (GCF) of 87784 and 87792 is 8.

GCF(87784,87792) = 8

We will now calculate the prime factors of 87784 and 87792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87784 and 87792.

How to find the GCF of 87784 and 87792?

We will first find the prime factorization of 87784 and 87792. After we will calculate the factors of 87784 and 87792 and find the biggest common factor number .

Step-1: Prime Factorization of 87784

Prime factors of 87784 are 2, 10973. Prime factorization of 87784 in exponential form is:

87784 = 2³ × 10973¹

Step-2: 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-3: Factors of 87784

List of positive integer factors of 87784 that divides 87784 without a remainder.

1, 2, 4, 8, 10973, 21946, 43892

Step-4: Factors of 87792

List of positive integer factors of 87792 that divides 87784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87784 and 87792. The biggest common factor number is the GCF number.
So the greatest common factor 87784 and 87792 is 8.

Also check out the Least Common Multiple of 87784 and 87792