What is the Greatest Common Factor of 77840 and 77850?

Greatest common factor (GCF) of 77840 and 77850 is 10.

GCF(77840,77850) = 10

We will now calculate the prime factors of 77840 and 77850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77840 and 77850.

How to find the GCF of 77840 and 77850?

We will first find the prime factorization of 77840 and 77850. After we will calculate the factors of 77840 and 77850 and find the biggest common factor number .

Step-1: Prime Factorization of 77840

Prime factors of 77840 are 2, 5, 7, 139. Prime factorization of 77840 in exponential form is:

77840 = 2⁴ × 5¹ × 7¹ × 139¹

Step-2: 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-3: Factors of 77840

List of positive integer factors of 77840 that divides 77840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 139, 140, 278, 280, 556, 560, 695, 973, 1112, 1390, 1946, 2224, 2780, 3892, 4865, 5560, 7784, 9730, 11120, 15568, 19460, 38920

Step-4: Factors of 77850

List of positive integer factors of 77850 that divides 77840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77840 and 77850. The biggest common factor number is the GCF number.
So the greatest common factor 77840 and 77850 is 10.

Also check out the Least Common Multiple of 77840 and 77850