What is the Greatest Common Factor of 95046 and 95060?

Greatest common factor (GCF) of 95046 and 95060 is 14.

GCF(95046,95060) = 14

We will now calculate the prime factors of 95046 and 95060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95046 and 95060.

How to find the GCF of 95046 and 95060?

We will first find the prime factorization of 95046 and 95060. After we will calculate the factors of 95046 and 95060 and find the biggest common factor number .

Step-1: Prime Factorization of 95046

Prime factors of 95046 are 2, 3, 7, 31, 73. Prime factorization of 95046 in exponential form is:

95046 = 2¹ × 3¹ × 7¹ × 31¹ × 73¹

Step-2: Prime Factorization of 95060

Prime factors of 95060 are 2, 5, 7, 97. Prime factorization of 95060 in exponential form is:

95060 = 2² × 5¹ × 7² × 97¹

Step-3: Factors of 95046

List of positive integer factors of 95046 that divides 95046 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 73, 93, 146, 186, 217, 219, 434, 438, 511, 651, 1022, 1302, 1533, 2263, 3066, 4526, 6789, 13578, 15841, 31682, 47523

Step-4: Factors of 95060

List of positive integer factors of 95060 that divides 95046 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 97, 98, 140, 194, 196, 245, 388, 485, 490, 679, 970, 980, 1358, 1940, 2716, 3395, 4753, 6790, 9506, 13580, 19012, 23765, 47530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95046 and 95060. The biggest common factor number is the GCF number.
So the greatest common factor 95046 and 95060 is 14.

Also check out the Least Common Multiple of 95046 and 95060