What is the Greatest Common Factor of 77844 and 77861?

Greatest common factor (GCF) of 77844 and 77861 is 1.

GCF(77844,77861) = 1

We will now calculate the prime factors of 77844 and 77861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77844 and 77861.

How to find the GCF of 77844 and 77861?

We will first find the prime factorization of 77844 and 77861. After we will calculate the factors of 77844 and 77861 and find the biggest common factor number .

Step-1: Prime Factorization of 77844

Prime factors of 77844 are 2, 3, 13, 499. Prime factorization of 77844 in exponential form is:

77844 = 2² × 3¹ × 13¹ × 499¹

Step-2: Prime Factorization of 77861

Prime factors of 77861 are 7, 227. Prime factorization of 77861 in exponential form is:

77861 = 7³ × 227¹

Step-3: Factors of 77844

List of positive integer factors of 77844 that divides 77844 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 499, 998, 1497, 1996, 2994, 5988, 6487, 12974, 19461, 25948, 38922

Step-4: Factors of 77861

List of positive integer factors of 77861 that divides 77844 without a remainder.

1, 7, 49, 227, 343, 1589, 11123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77844 and 77861. The biggest common factor number is the GCF number.
So the greatest common factor 77844 and 77861 is 1.

Also check out the Least Common Multiple of 77844 and 77861