What is the Greatest Common Factor of 75225 and 75236?

Greatest common factor (GCF) of 75225 and 75236 is 1.

GCF(75225,75236) = 1

We will now calculate the prime factors of 75225 and 75236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75225 and 75236.

How to find the GCF of 75225 and 75236?

We will first find the prime factorization of 75225 and 75236. After we will calculate the factors of 75225 and 75236 and find the biggest common factor number .

Step-1: Prime Factorization of 75225

Prime factors of 75225 are 3, 5, 17, 59. Prime factorization of 75225 in exponential form is:

75225 = 3¹ × 5² × 17¹ × 59¹

Step-2: Prime Factorization of 75236

Prime factors of 75236 are 2, 7, 2687. Prime factorization of 75236 in exponential form is:

75236 = 2² × 7¹ × 2687¹

Step-3: Factors of 75225

List of positive integer factors of 75225 that divides 75225 without a remainder.

1, 3, 5, 15, 17, 25, 51, 59, 75, 85, 177, 255, 295, 425, 885, 1003, 1275, 1475, 3009, 4425, 5015, 15045, 25075

Step-4: Factors of 75236

List of positive integer factors of 75236 that divides 75225 without a remainder.

1, 2, 4, 7, 14, 28, 2687, 5374, 10748, 18809, 37618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75225 and 75236. The biggest common factor number is the GCF number.
So the greatest common factor 75225 and 75236 is 1.

Also check out the Least Common Multiple of 75225 and 75236