What is the Greatest Common Factor of 78242 and 78251?

Greatest common factor (GCF) of 78242 and 78251 is 1.

GCF(78242,78251) = 1

We will now calculate the prime factors of 78242 and 78251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78242 and 78251.

How to find the GCF of 78242 and 78251?

We will first find the prime factorization of 78242 and 78251. After we will calculate the factors of 78242 and 78251 and find the biggest common factor number .

Step-1: Prime Factorization of 78242

Prime factors of 78242 are 2, 19, 29, 71. Prime factorization of 78242 in exponential form is:

78242 = 2¹ × 19¹ × 29¹ × 71¹

Step-2: Prime Factorization of 78251

Prime factors of 78251 are 17, 4603. Prime factorization of 78251 in exponential form is:

78251 = 17¹ × 4603¹

Step-3: Factors of 78242

List of positive integer factors of 78242 that divides 78242 without a remainder.

1, 2, 19, 29, 38, 58, 71, 142, 551, 1102, 1349, 2059, 2698, 4118, 39121

Step-4: Factors of 78251

List of positive integer factors of 78251 that divides 78242 without a remainder.

1, 17, 4603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78242 and 78251. The biggest common factor number is the GCF number.
So the greatest common factor 78242 and 78251 is 1.

Also check out the Least Common Multiple of 78242 and 78251