What is the Greatest Common Factor of 45440 and 45452?

Greatest common factor (GCF) of 45440 and 45452 is 4.

GCF(45440,45452) = 4

We will now calculate the prime factors of 45440 and 45452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45440 and 45452.

How to find the GCF of 45440 and 45452?

We will first find the prime factorization of 45440 and 45452. After we will calculate the factors of 45440 and 45452 and find the biggest common factor number .

Step-1: Prime Factorization of 45440

Prime factors of 45440 are 2, 5, 71. Prime factorization of 45440 in exponential form is:

45440 = 2⁷ × 5¹ × 71¹

Step-2: Prime Factorization of 45452

Prime factors of 45452 are 2, 11, 1033. Prime factorization of 45452 in exponential form is:

45452 = 2² × 11¹ × 1033¹

Step-3: Factors of 45440

List of positive integer factors of 45440 that divides 45440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 71, 80, 128, 142, 160, 284, 320, 355, 568, 640, 710, 1136, 1420, 2272, 2840, 4544, 5680, 9088, 11360, 22720

Step-4: Factors of 45452

List of positive integer factors of 45452 that divides 45440 without a remainder.

1, 2, 4, 11, 22, 44, 1033, 2066, 4132, 11363, 22726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45440 and 45452. The biggest common factor number is the GCF number.
So the greatest common factor 45440 and 45452 is 4.

Also check out the Least Common Multiple of 45440 and 45452