What is the Greatest Common Factor of 46165 and 46172?

Greatest common factor (GCF) of 46165 and 46172 is 7.

GCF(46165,46172) = 7

We will now calculate the prime factors of 46165 and 46172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46165 and 46172.

How to find the GCF of 46165 and 46172?

We will first find the prime factorization of 46165 and 46172. After we will calculate the factors of 46165 and 46172 and find the biggest common factor number .

Step-1: Prime Factorization of 46165

Prime factors of 46165 are 5, 7, 1319. Prime factorization of 46165 in exponential form is:

46165 = 5¹ × 7¹ × 1319¹

Step-2: Prime Factorization of 46172

Prime factors of 46172 are 2, 7, 17, 97. Prime factorization of 46172 in exponential form is:

46172 = 2² × 7¹ × 17¹ × 97¹

Step-3: Factors of 46165

List of positive integer factors of 46165 that divides 46165 without a remainder.

1, 5, 7, 35, 1319, 6595, 9233

Step-4: Factors of 46172

List of positive integer factors of 46172 that divides 46165 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 97, 119, 194, 238, 388, 476, 679, 1358, 1649, 2716, 3298, 6596, 11543, 23086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46165 and 46172. The biggest common factor number is the GCF number.
So the greatest common factor 46165 and 46172 is 7.

Also check out the Least Common Multiple of 46165 and 46172