What is the Greatest Common Factor of 93149 and 93156?

Greatest common factor (GCF) of 93149 and 93156 is 7.

GCF(93149,93156) = 7

We will now calculate the prime factors of 93149 and 93156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93149 and 93156.

How to find the GCF of 93149 and 93156?

We will first find the prime factorization of 93149 and 93156. After we will calculate the factors of 93149 and 93156 and find the biggest common factor number .

Step-1: Prime Factorization of 93149

Prime factors of 93149 are 7, 1901. Prime factorization of 93149 in exponential form is:

93149 = 7² × 1901¹

Step-2: Prime Factorization of 93156

Prime factors of 93156 are 2, 3, 7, 1109. Prime factorization of 93156 in exponential form is:

93156 = 2² × 3¹ × 7¹ × 1109¹

Step-3: Factors of 93149

List of positive integer factors of 93149 that divides 93149 without a remainder.

1, 7, 49, 1901, 13307

Step-4: Factors of 93156

List of positive integer factors of 93156 that divides 93149 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1109, 2218, 3327, 4436, 6654, 7763, 13308, 15526, 23289, 31052, 46578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93149 and 93156. The biggest common factor number is the GCF number.
So the greatest common factor 93149 and 93156 is 7.

Also check out the Least Common Multiple of 93149 and 93156