What is the Greatest Common Factor of 77850 and 77868?

Greatest common factor (GCF) of 77850 and 77868 is 18.

GCF(77850,77868) = 18

We will now calculate the prime factors of 77850 and 77868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77850 and 77868.

How to find the GCF of 77850 and 77868?

We will first find the prime factorization of 77850 and 77868. After we will calculate the factors of 77850 and 77868 and find the biggest common factor number .

Step-1: Prime Factorization of 77850

Prime factors of 77850 are 2, 3, 5, 173. Prime factorization of 77850 in exponential form is:

77850 = 2¹ × 3² × 5² × 173¹

Step-2: 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-3: Factors of 77850

List of positive integer factors of 77850 that divides 77850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 173, 225, 346, 450, 519, 865, 1038, 1557, 1730, 2595, 3114, 4325, 5190, 7785, 8650, 12975, 15570, 25950, 38925

Step-4: Factors of 77868

List of positive integer factors of 77868 that divides 77850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77850 and 77868. The biggest common factor number is the GCF number.
So the greatest common factor 77850 and 77868 is 18.

Also check out the Least Common Multiple of 77850 and 77868