What is the Greatest Common Factor of 77928 and 77942?

Greatest common factor (GCF) of 77928 and 77942 is 2.

GCF(77928,77942) = 2

We will now calculate the prime factors of 77928 and 77942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77928 and 77942.

How to find the GCF of 77928 and 77942?

We will first find the prime factorization of 77928 and 77942. After we will calculate the factors of 77928 and 77942 and find the biggest common factor number .

Step-1: Prime Factorization of 77928

Prime factors of 77928 are 2, 3, 17, 191. Prime factorization of 77928 in exponential form is:

77928 = 2³ × 3¹ × 17¹ × 191¹

Step-2: Prime Factorization of 77942

Prime factors of 77942 are 2, 38971. Prime factorization of 77942 in exponential form is:

77942 = 2¹ × 38971¹

Step-3: Factors of 77928

List of positive integer factors of 77928 that divides 77928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 191, 204, 382, 408, 573, 764, 1146, 1528, 2292, 3247, 4584, 6494, 9741, 12988, 19482, 25976, 38964

Step-4: Factors of 77942

List of positive integer factors of 77942 that divides 77928 without a remainder.

1, 2, 38971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77928 and 77942. The biggest common factor number is the GCF number.
So the greatest common factor 77928 and 77942 is 2.

Also check out the Least Common Multiple of 77928 and 77942