What is the Greatest Common Factor of 94725 and 94738?

Greatest common factor (GCF) of 94725 and 94738 is 1.

GCF(94725,94738) = 1

We will now calculate the prime factors of 94725 and 94738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94725 and 94738.

How to find the GCF of 94725 and 94738?

We will first find the prime factorization of 94725 and 94738. After we will calculate the factors of 94725 and 94738 and find the biggest common factor number .

Step-1: Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 3² × 5² × 421¹

Step-2: Prime Factorization of 94738

Prime factors of 94738 are 2, 7, 67, 101. Prime factorization of 94738 in exponential form is:

94738 = 2¹ × 7¹ × 67¹ × 101¹

Step-3: Factors of 94725

List of positive integer factors of 94725 that divides 94725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 421, 1263, 2105, 3789, 6315, 10525, 18945, 31575

Step-4: Factors of 94738

List of positive integer factors of 94738 that divides 94725 without a remainder.

1, 2, 7, 14, 67, 101, 134, 202, 469, 707, 938, 1414, 6767, 13534, 47369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94725 and 94738. The biggest common factor number is the GCF number.
So the greatest common factor 94725 and 94738 is 1.

Also check out the Least Common Multiple of 94725 and 94738