What is the Greatest Common Factor of 45160 and 45164?

Greatest common factor (GCF) of 45160 and 45164 is 4.

GCF(45160,45164) = 4

We will now calculate the prime factors of 45160 and 45164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45160 and 45164.

How to find the GCF of 45160 and 45164?

We will first find the prime factorization of 45160 and 45164. After we will calculate the factors of 45160 and 45164 and find the biggest common factor number .

Step-1: Prime Factorization of 45160

Prime factors of 45160 are 2, 5, 1129. Prime factorization of 45160 in exponential form is:

45160 = 2³ × 5¹ × 1129¹

Step-2: 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-3: Factors of 45160

List of positive integer factors of 45160 that divides 45160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1129, 2258, 4516, 5645, 9032, 11290, 22580

Step-4: Factors of 45164

List of positive integer factors of 45164 that divides 45160 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45160 and 45164. The biggest common factor number is the GCF number.
So the greatest common factor 45160 and 45164 is 4.

Also check out the Least Common Multiple of 45160 and 45164