What is the Greatest Common Factor of 77857 and 77874?

Greatest common factor (GCF) of 77857 and 77874 is 1.

GCF(77857,77874) = 1

We will now calculate the prime factors of 77857 and 77874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77857 and 77874.

How to find the GCF of 77857 and 77874?

We will first find the prime factorization of 77857 and 77874. After we will calculate the factors of 77857 and 77874 and find the biggest common factor number .

Step-1: Prime Factorization of 77857

Prime factors of 77857 are 13, 53, 113. Prime factorization of 77857 in exponential form is:

77857 = 13¹ × 53¹ × 113¹

Step-2: Prime Factorization of 77874

Prime factors of 77874 are 2, 3, 12979. Prime factorization of 77874 in exponential form is:

77874 = 2¹ × 3¹ × 12979¹

Step-3: Factors of 77857

List of positive integer factors of 77857 that divides 77857 without a remainder.

1, 13, 53, 113, 689, 1469, 5989

Step-4: Factors of 77874

List of positive integer factors of 77874 that divides 77857 without a remainder.

1, 2, 3, 6, 12979, 25958, 38937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77857 and 77874. The biggest common factor number is the GCF number.
So the greatest common factor 77857 and 77874 is 1.

Also check out the Least Common Multiple of 77857 and 77874