What is the Greatest Common Factor of 45290 and 45300?

Greatest common factor (GCF) of 45290 and 45300 is 10.

GCF(45290,45300) = 10

We will now calculate the prime factors of 45290 and 45300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45290 and 45300.

How to find the GCF of 45290 and 45300?

We will first find the prime factorization of 45290 and 45300. After we will calculate the factors of 45290 and 45300 and find the biggest common factor number .

Step-1: Prime Factorization of 45290

Prime factors of 45290 are 2, 5, 7, 647. Prime factorization of 45290 in exponential form is:

45290 = 2¹ × 5¹ × 7¹ × 647¹

Step-2: Prime Factorization of 45300

Prime factors of 45300 are 2, 3, 5, 151. Prime factorization of 45300 in exponential form is:

45300 = 2² × 3¹ × 5² × 151¹

Step-3: Factors of 45290

List of positive integer factors of 45290 that divides 45290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 647, 1294, 3235, 4529, 6470, 9058, 22645

Step-4: Factors of 45300

List of positive integer factors of 45300 that divides 45290 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 151, 300, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 3775, 4530, 7550, 9060, 11325, 15100, 22650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45290 and 45300. The biggest common factor number is the GCF number.
So the greatest common factor 45290 and 45300 is 10.

Also check out the Least Common Multiple of 45290 and 45300