What is the Greatest Common Factor of 46060 and 46075?

Greatest common factor (GCF) of 46060 and 46075 is 5.

GCF(46060,46075) = 5

We will now calculate the prime factors of 46060 and 46075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46060 and 46075.

How to find the GCF of 46060 and 46075?

We will first find the prime factorization of 46060 and 46075. After we will calculate the factors of 46060 and 46075 and find the biggest common factor number .

Step-1: Prime Factorization of 46060

Prime factors of 46060 are 2, 5, 7, 47. Prime factorization of 46060 in exponential form is:

46060 = 2² × 5¹ × 7² × 47¹

Step-2: Prime Factorization of 46075

Prime factors of 46075 are 5, 19, 97. Prime factorization of 46075 in exponential form is:

46075 = 5² × 19¹ × 97¹

Step-3: Factors of 46060

List of positive integer factors of 46060 that divides 46060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 49, 70, 94, 98, 140, 188, 196, 235, 245, 329, 470, 490, 658, 940, 980, 1316, 1645, 2303, 3290, 4606, 6580, 9212, 11515, 23030

Step-4: Factors of 46075

List of positive integer factors of 46075 that divides 46060 without a remainder.

1, 5, 19, 25, 95, 97, 475, 485, 1843, 2425, 9215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46060 and 46075. The biggest common factor number is the GCF number.
So the greatest common factor 46060 and 46075 is 5.

Also check out the Least Common Multiple of 46060 and 46075