What is the Greatest Common Factor of 77868 and 77875?

Greatest common factor (GCF) of 77868 and 77875 is 7.

GCF(77868,77875) = 7

We will now calculate the prime factors of 77868 and 77875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77868 and 77875.

How to find the GCF of 77868 and 77875?

We will first find the prime factorization of 77868 and 77875. After we will calculate the factors of 77868 and 77875 and find the biggest common factor number .

Step-1: Prime Factorization of 77868

Prime factors of 77868 are 2, 3, 7, 103. Prime factorization of 77868 in exponential form is:

77868 = 2² × 3³ × 7¹ × 103¹

Step-2: Prime Factorization of 77875

Prime factors of 77875 are 5, 7, 89. Prime factorization of 77875 in exponential form is:

77875 = 5³ × 7¹ × 89¹

Step-3: Factors of 77868

List of positive integer factors of 77868 that divides 77868 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 103, 108, 126, 189, 206, 252, 309, 378, 412, 618, 721, 756, 927, 1236, 1442, 1854, 2163, 2781, 2884, 3708, 4326, 5562, 6489, 8652, 11124, 12978, 19467, 25956, 38934

Step-4: Factors of 77875

List of positive integer factors of 77875 that divides 77868 without a remainder.

1, 5, 7, 25, 35, 89, 125, 175, 445, 623, 875, 2225, 3115, 11125, 15575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77868 and 77875. The biggest common factor number is the GCF number.
So the greatest common factor 77868 and 77875 is 7.

Also check out the Least Common Multiple of 77868 and 77875