What is the Greatest Common Factor of 78225 and 78242?

Greatest common factor (GCF) of 78225 and 78242 is 1.

GCF(78225,78242) = 1

We will now calculate the prime factors of 78225 and 78242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78225 and 78242.

How to find the GCF of 78225 and 78242?

We will first find the prime factorization of 78225 and 78242. After we will calculate the factors of 78225 and 78242 and find the biggest common factor number .

Step-1: Prime Factorization of 78225

Prime factors of 78225 are 3, 5, 7, 149. Prime factorization of 78225 in exponential form is:

78225 = 3¹ × 5² × 7¹ × 149¹

Step-2: 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-3: Factors of 78225

List of positive integer factors of 78225 that divides 78225 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 149, 175, 447, 525, 745, 1043, 2235, 3129, 3725, 5215, 11175, 15645, 26075

Step-4: Factors of 78242

List of positive integer factors of 78242 that divides 78225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78225 and 78242. The biggest common factor number is the GCF number.
So the greatest common factor 78225 and 78242 is 1.

Also check out the Least Common Multiple of 78225 and 78242