What is the Greatest Common Factor of 78242 and 78252?

Greatest common factor (GCF) of 78242 and 78252 is 2.

GCF(78242,78252) = 2

We will now calculate the prime factors of 78242 and 78252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78242 and 78252.

How to find the GCF of 78242 and 78252?

We will first find the prime factorization of 78242 and 78252. After we will calculate the factors of 78242 and 78252 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 78252

Prime factors of 78252 are 2, 3, 6521. Prime factorization of 78252 in exponential form is:

78252 = 2² × 3¹ × 6521¹

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 78252

List of positive integer factors of 78252 that divides 78242 without a remainder.

1, 2, 3, 4, 6, 12, 6521, 13042, 19563, 26084, 39126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78242 and 78252. The biggest common factor number is the GCF number.
So the greatest common factor 78242 and 78252 is 2.

Also check out the Least Common Multiple of 78242 and 78252