What is the Greatest Common Factor of 45164 and 45171?

Greatest common factor (GCF) of 45164 and 45171 is 7.

GCF(45164,45171) = 7

We will now calculate the prime factors of 45164 and 45171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45164 and 45171.

How to find the GCF of 45164 and 45171?

We will first find the prime factorization of 45164 and 45171. After we will calculate the factors of 45164 and 45171 and find the biggest common factor number .

Step-1: Prime Factorization of 45164

Prime factors of 45164 are 2, 7, 1613. Prime factorization of 45164 in exponential form is:

45164 = 2² × 7¹ × 1613¹

Step-2: Prime Factorization of 45171

Prime factors of 45171 are 3, 7, 239. Prime factorization of 45171 in exponential form is:

45171 = 3³ × 7¹ × 239¹

Step-3: Factors of 45164

List of positive integer factors of 45164 that divides 45164 without a remainder.

1, 2, 4, 7, 14, 28, 1613, 3226, 6452, 11291, 22582

Step-4: Factors of 45171

List of positive integer factors of 45171 that divides 45164 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 239, 717, 1673, 2151, 5019, 6453, 15057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45164 and 45171. The biggest common factor number is the GCF number.
So the greatest common factor 45164 and 45171 is 7.

Also check out the Least Common Multiple of 45164 and 45171