What is the Greatest Common Factor of 76942 and 76951?

Greatest common factor (GCF) of 76942 and 76951 is 1.

GCF(76942,76951) = 1

We will now calculate the prime factors of 76942 and 76951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76942 and 76951.

How to find the GCF of 76942 and 76951?

We will first find the prime factorization of 76942 and 76951. After we will calculate the factors of 76942 and 76951 and find the biggest common factor number .

Step-1: Prime Factorization of 76942

Prime factors of 76942 are 2, 17, 31, 73. Prime factorization of 76942 in exponential form is:

76942 = 2¹ × 17¹ × 31¹ × 73¹

Step-2: Prime Factorization of 76951

Prime factors of 76951 are 7, 10993. Prime factorization of 76951 in exponential form is:

76951 = 7¹ × 10993¹

Step-3: Factors of 76942

List of positive integer factors of 76942 that divides 76942 without a remainder.

1, 2, 17, 31, 34, 62, 73, 146, 527, 1054, 1241, 2263, 2482, 4526, 38471

Step-4: Factors of 76951

List of positive integer factors of 76951 that divides 76942 without a remainder.

1, 7, 10993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76942 and 76951. The biggest common factor number is the GCF number.
So the greatest common factor 76942 and 76951 is 1.

Also check out the Least Common Multiple of 76942 and 76951