What is the Greatest Common Factor of 94535 and 94542?

Greatest common factor (GCF) of 94535 and 94542 is 7.

GCF(94535,94542) = 7

We will now calculate the prime factors of 94535 and 94542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94535 and 94542.

How to find the GCF of 94535 and 94542?

We will first find the prime factorization of 94535 and 94542. After we will calculate the factors of 94535 and 94542 and find the biggest common factor number .

Step-1: Prime Factorization of 94535

Prime factors of 94535 are 5, 7, 37, 73. Prime factorization of 94535 in exponential form is:

94535 = 5¹ × 7¹ × 37¹ × 73¹

Step-2: Prime Factorization of 94542

Prime factors of 94542 are 2, 3, 7, 2251. Prime factorization of 94542 in exponential form is:

94542 = 2¹ × 3¹ × 7¹ × 2251¹

Step-3: Factors of 94535

List of positive integer factors of 94535 that divides 94535 without a remainder.

1, 5, 7, 35, 37, 73, 185, 259, 365, 511, 1295, 2555, 2701, 13505, 18907

Step-4: Factors of 94542

List of positive integer factors of 94542 that divides 94535 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2251, 4502, 6753, 13506, 15757, 31514, 47271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94535 and 94542. The biggest common factor number is the GCF number.
So the greatest common factor 94535 and 94542 is 7.

Also check out the Least Common Multiple of 94535 and 94542