What is the Greatest Common Factor of 87768 and 87776?

Greatest common factor (GCF) of 87768 and 87776 is 8.

GCF(87768,87776) = 8

We will now calculate the prime factors of 87768 and 87776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87768 and 87776.

How to find the GCF of 87768 and 87776?

We will first find the prime factorization of 87768 and 87776. After we will calculate the factors of 87768 and 87776 and find the biggest common factor number .

Step-1: Prime Factorization of 87768

Prime factors of 87768 are 2, 3, 23, 53. Prime factorization of 87768 in exponential form is:

87768 = 2³ × 3² × 23¹ × 53¹

Step-2: Prime Factorization of 87776

Prime factors of 87776 are 2, 13, 211. Prime factorization of 87776 in exponential form is:

87776 = 2⁵ × 13¹ × 211¹

Step-3: Factors of 87768

List of positive integer factors of 87768 that divides 87768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 53, 69, 72, 92, 106, 138, 159, 184, 207, 212, 276, 318, 414, 424, 477, 552, 636, 828, 954, 1219, 1272, 1656, 1908, 2438, 3657, 3816, 4876, 7314, 9752, 10971, 14628, 21942, 29256, 43884

Step-4: Factors of 87776

List of positive integer factors of 87776 that divides 87768 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 211, 416, 422, 844, 1688, 2743, 3376, 5486, 6752, 10972, 21944, 43888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87768 and 87776. The biggest common factor number is the GCF number.
So the greatest common factor 87768 and 87776 is 8.

Also check out the Least Common Multiple of 87768 and 87776